72031164 has 24 divisors (see below), whose sum is σ = 170583168. Its totient is φ = 23651760.

The previous prime is 72031163. The next prime is 72031181. The reversal of 72031164 is 46113027.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72031163) 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, 43992 + ... + 45599.

It is an arithmetic number, because the mean of its divisors is an integer number (7107632).

Almost surely, 2^72031164 is an apocalyptic number.

It is an amenable number.

72031164 is an abundant number, since it is smaller than the sum of its proper divisors (98552004).

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

72031164 is a wasteful number, since it uses less digits than its factorization.

72031164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89665 (or 89663 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 72031164 is about 8487.1175318832. The cubic root of 72031164 is about 416.0767779269.

The spelling of 72031164 in words is "seventy-two million, thirty-one thousand, one hundred sixty-four".