72052584 has 16 divisors (see below), whose sum is σ = 180131520. Its totient is φ = 24017520.

The previous prime is 72052577. The next prime is 72052601. The reversal of 72052584 is 48525027.

It is a super-2 number, since 2×72052584² = 10383149722154112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1501072 + ... + 1501119.

It is an arithmetic number, because the mean of its divisors is an integer number (11258220).

Almost surely, 2^72052584 is an apocalyptic number.

It is an amenable number.

72052584 is an abundant number, since it is smaller than the sum of its proper divisors (108078936).

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

72052584 is a wasteful number, since it uses less digits than its factorization.

72052584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3002200 (or 3002196 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 72052584 is about 8488.3793506181. The cubic root of 72052584 is about 416.1180169352.

The spelling of 72052584 in words is "seventy-two million, fifty-two thousand, five hundred eighty-four".