252624072 has 32 divisors (see below), whose sum is σ = 632515680. Its totient is φ = 84080640.

The previous prime is 252624059. The next prime is 252624089. The reversal of 252624072 is 270426252.

252624072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×252624072² = 127637843507722368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8968 + ... + 24200.

It is an arithmetic number, because the mean of its divisors is an integer number (19766115).

Almost surely, 2^252624072 is an apocalyptic number.

It is an amenable number.

252624072 is an abundant number, since it is smaller than the sum of its proper divisors (379891608).

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

252624072 is a wasteful number, since it uses less digits than its factorization.

252624072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15933 (or 15929 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 252624072 is about 15894.1521321523. The cubic root of 252624072 is about 632.1569404084.

The spelling of 252624072 in words is "two hundred fifty-two million, six hundred twenty-four thousand, seventy-two".