72384964 has 24 divisors (see below), whose sum is σ = 128842560. Its totient is φ = 35577504.

The previous prime is 72384959. The next prime is 72384971. The reversal of 72384964 is 46948327.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 72384964.

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, 86902 + ... + 87730.

It is an arithmetic number, because the mean of its divisors is an integer number (5368440).

Almost surely, 2^72384964 is an apocalyptic number.

It is an amenable number.

72384964 is a deficient number, since it is larger than the sum of its proper divisors (56457596).

72384964 is a wasteful number, since it uses less digits than its factorization.

72384964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1177 counting only the distinct ones).

The product of its digits is 290304, while the sum is 43.

The square root of 72384964 is about 8507.9353547144. The cubic root of 72384964 is about 416.7568891201.

The spelling of 72384964 in words is "seventy-two million, three hundred eighty-four thousand, nine hundred sixty-four".