72 (number)

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72 (seventy-two) is the natural number following 71 and preceding 73. It is half a gross or 6 dozen (i.e., 60 in duodecimal).

Cardinal 72
seventy-two
Ordinal 72nd
seventy-second
Factorization 2^3 \cdot 3^2
Divisors 1, 2, 3, 4, 6, 8, 9,
12, 18, 24, 36, 72
Roman numeral LXXII
Binary 1001000
Duodecimal 60
Hexadecimal 48

Contents

[edit] In mathematics

  • Seventy-two is the sum of four consecutive primes (13 + 17 + 19 + 23), as well as the sum of six consecutive primes (5 + 7 + 11 + 13 + 17 + 19). The product of 8 and 9, 72 is a pronic number. And as a multiple of a perfect number, 72 is itself a semiperfect number.
  • The sum of Euler's totient function φ(x) over the first fifteen integers is 72. There are 17 solutions to the equation φ(x) = 72, more than any integer below 72, making it a highly totient number.
  • The sum of the eighth row of Lozanić's triangle is 72.
  • In a plane, the exterior angles of a regular pentagon measure 72 degrees each.
  • 72 is a Harshad number.
  • The smallest number whose fifth power is the sum of 5 smaller fifth powers; 195 + 435 + 465 + 475 + 675 = 725

Converting ASCII code to text in Python

  • Being a pronic number it does not show up in the Fibbonacci Sequence

[edit] In science

[edit] In astronomy

[edit] In religion

[edit] In other fields

Seventy-two is also:

[edit] In sports and games

  • The usual par for an 18 hole golf course, especially those in tournament play.
  • The number of victories the Chicago Bulls got in the 1995-96 NBA season, which is the NBA record.
  • Heavyweight boxer Joe Louis fought 72 fights (69-3)
  • While playing for the Chicago White Sox, Carlton Fisk wore #72. This was the inverse of the 27 he wore with the Boston Red Sox since that number was not available when he arrived in Chicago.
  • Former NFL defensive tackle William Perry, most famously of the 1985 Chicago Bears, wore #72.
  • King Of The Hill character Bill Daughtreve is often shown wearing #72 during his high school football playing days. The character's high school career shares many of the same elements as Perry's pro career.
  • The number of spaces in a game of Parcheesi, from start space to "home."
  • The number of tiles in the original base game of the popular Carcassonne (board game).
  • The number of Stefan Evers, 10 fold world champion motor cross