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72 (number)

← 71 72 73 →
Cardinal seventy-two
Ordinal 72nd
(seventy-second)
Factorization 23× 32
Divisors 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Roman numeral LXXII
Binary 10010002
Ternary 22003
Quaternary 10204
Quinary 2425
Senary 2006
Octal 1108
Duodecimal 6012
Hexadecimal 4816
Vigesimal 3C20
Base 36 2036

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).

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.

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.

72 is the smallest number whose fifth power is the sum of five smaller fifth powers: 195 + 435 + 465 + 475 + 675 = 725.

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.

In base 10, the number 72 is a Harshad number.

Seventy-two is also:


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