72312960 has 64 divisors (see below), whose sum is σ = 230503680. Its totient is φ = 19282944.

The previous prime is 72312959. The next prime is 72312967. The reversal of 72312960 is 6921327.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (72312967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16912 + ... + 20751.

It is an arithmetic number, because the mean of its divisors is an integer number (3601620).

Almost surely, 2^72312960 is an apocalyptic number.

It is an amenable number.

72312960 is an abundant number, since it is smaller than the sum of its proper divisors (158190720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72312960 is a wasteful number, since it uses less digits than its factorization.

72312960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37685 (or 37673 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 72312960 is about 8503.7027229319. The cubic root of 72312960 is about 416.6186554458.

The spelling of 72312960 in words is "seventy-two million, three hundred twelve thousand, nine hundred sixty".