72967002556 has 48 divisors (see below), whose sum is σ = 157191229440. Its totient is φ = 28947029760.

The previous prime is 72967002539. The next prime is 72967002601. The reversal of 72967002556 is 65520076927.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1807501 + ... + 1847428.

It is an arithmetic number, because the mean of its divisors is an integer number (3274817280).

Almost surely, 2^72967002556 is an apocalyptic number.

It is an amenable number.

72967002556 is an abundant number, since it is smaller than the sum of its proper divisors (84224226884).

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

72967002556 is a wasteful number, since it uses less digits than its factorization.

72967002556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3654994 (or 3654992 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 49.

The spelling of 72967002556 in words is "seventy-two billion, nine hundred sixty-seven million, two thousand, five hundred fifty-six".