72960712 has 32 divisors (see below), whose sum is σ = 150400800. Its totient is φ = 32905600.

The previous prime is 72960691. The next prime is 72960721. The reversal of 72960712 is 21706927.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8364 + ... + 14692.

It is an arithmetic number, because the mean of its divisors is an integer number (4700025).

Almost surely, 2^72960712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72960712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75200400).

72960712 is an abundant number, since it is smaller than the sum of its proper divisors (77440088).

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

72960712 is a wasteful number, since it uses less digits than its factorization.

72960712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6477 (or 6473 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 72960712 is about 8541.7042795920. The cubic root of 72960712 is about 417.8589299834.

The spelling of 72960712 in words is "seventy-two million, nine hundred sixty thousand, seven hundred twelve".