252265272 has 64 divisors (see below), whose sum is σ = 730944000. Its totient is φ = 71057280.

The previous prime is 252265271. The next prime is 252265283. The reversal of 252265272 is 272562252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252265271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1354 + ... + 22502.

It is an arithmetic number, because the mean of its divisors is an integer number (11421000).

Almost surely, 2^252265272 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 252265272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365472000).

252265272 is an abundant number, since it is smaller than the sum of its proper divisors (478678728).

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

252265272 is a wasteful number, since it uses less digits than its factorization.

252265272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21236 (or 21232 counting only the distinct ones).

The product of its digits is 33600, while the sum is 33.

The square root of 252265272 is about 15882.8609513526. The cubic root of 252265272 is about 631.8575160823.

The spelling of 252265272 in words is "two hundred fifty-two million, two hundred sixty-five thousand, two hundred seventy-two".