252664272 has 100 divisors (see below), whose sum is σ = 835782816. Its totient is φ = 72187200.

The previous prime is 252664267. The next prime is 252664297. The reversal of 252664272 is 272466252.

252664272 is a `hidden beast` number, since 2 + 5 + 2 + 6 + 642 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4854 + ... + 22997.

Almost surely, 2^252664272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252664272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417891408).

252664272 is an abundant number, since it is smaller than the sum of its proper divisors (583118544).

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

252664272 is a wasteful number, since it uses less digits than its factorization.

252664272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27878 (or 27863 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 252664272 is about 15895.4166979038. The cubic root of 252664272 is about 632.1904702841.

The spelling of 252664272 in words is "two hundred fifty-two million, six hundred sixty-four thousand, two hundred seventy-two".