72267564 has 48 divisors (see below), whose sum is σ = 185230080. Its totient is φ = 21827520.

The previous prime is 72267523. The next prime is 72267577. The reversal of 72267564 is 46576227.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1647 + ... + 12134.

It is an arithmetic number, because the mean of its divisors is an integer number (3858960).

Almost surely, 2^72267564 is an apocalyptic number.

It is an amenable number.

72267564 is an abundant number, since it is smaller than the sum of its proper divisors (112962516).

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

72267564 is a wasteful number, since it uses less digits than its factorization.

72267564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13830 (or 13828 counting only the distinct ones).

The product of its digits is 141120, while the sum is 39.

The square root of 72267564 is about 8501.0331136868. The cubic root of 72267564 is about 416.5314567864.

It can be divided in two parts, 722 and 67564, that added together give a palindrome (68286).

The spelling of 72267564 in words is "seventy-two million, two hundred sixty-seven thousand, five hundred sixty-four".