72056164 has 12 divisors (see below), whose sum is σ = 126753004. Its totient is φ = 35841024.

The previous prime is 72056161. The next prime is 72056191. The reversal of 72056164 is 46165027.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 22944100 + 49112064 = 4790^2 + 7008^2 .

It is not an unprimeable number, because it can be changed into a prime (72056161) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45897 + ... + 47440.

Almost surely, 2^72056164 is an apocalyptic number.

It is an amenable number.

72056164 is a deficient number, since it is larger than the sum of its proper divisors (54696840).

72056164 is a wasteful number, since it uses less digits than its factorization.

72056164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93534 (or 93532 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 72056164 is about 8488.5902245308. The cubic root of 72056164 is about 416.1249085586.

The spelling of 72056164 in words is "seventy-two million, fifty-six thousand, one hundred sixty-four".