72 (Number)

72 is the natural number following 71 and preceding 73.
Cardinal seventy-two
Ordinal72nd (seventy-second)
Factorization2^3 \cdot 3^2
Divisors 2, 3, 4, 6, 8, 9,
12, 18, 24, 36
Roman numeralLXXII
Binary1001000
Hexadecimal48

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). 72 is a Harshad number and a pronic number. In normal space, the exterior angles of an equilateral pentagon measure 72 degrees each. There are 17 solutions to the equation φ(x) = 72, more than any integer below 72, making it a highly totient number.

In science

In astronomy,
Messier object M72, a magnitude 10.0 globular cluster in the constellation Aquarius
The New General Catalogue object NGC 72, a magnitude 13.5 barred spiral galaxy in the constellation Andromeda
The Saros number of the solar eclipse series which began on -727 August 16 and ended on 752 January 21. The duration of Saros series 72 was 1478.1 years, and it contained 83 solar eclipses.
The Saros number of the lunar eclipse series which began on -407 June 5 and ended on 891 July 25. The duration of Saros series 72 was 1298.1 years, and it contained 73 lunar eclipses.

In other fields

Seventy-two is also:

 

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