72900964 has 24 divisors (see below), whose sum is σ = 139442688. Its totient is φ = 33198720.

The previous prime is 72900959. The next prime is 72900973. The reversal of 72900964 is 46900927.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15184 + ... + 19399.

It is an arithmetic number, because the mean of its divisors is an integer number (5810112).

Almost surely, 2^72900964 is an apocalyptic number.

It is an amenable number.

72900964 is a deficient number, since it is larger than the sum of its proper divisors (66541724).

72900964 is a wasteful number, since it uses less digits than its factorization.

72900964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34635 (or 34633 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 72900964 is about 8538.2061347803. The cubic root of 72900964 is about 417.7448363716.

Subtracting from 72900964 its sum of digits (37), we obtain a palindrome (72900927).

The spelling of 72900964 in words is "seventy-two million, nine hundred thousand, nine hundred sixty-four".