257572 has 12 divisors (see below), whose sum is σ = 515200. Its totient is φ = 110376.

The previous prime is 257561. The next prime is 257591. The reversal of 257572 is 275752.

257572 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

257572 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 9199 = 257572 / (2 + 5 + 7 + 5 + 7 + 2).

It is a self number, because there is not a number n which added to its sum of digits gives 257572.

It is an unprimeable number.

257572 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4572 + ... + 4627.

2²⁵⁷⁵⁷² is an apocalyptic number.

It is an amenable number.

257572 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

257572 is a wasteful number, since it uses less digits than its factorization.

257572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9210 (or 9208 counting only the distinct ones).

The product of its digits is 4900, while the sum is 28.

The square root of 257572 is about 507.5155170042. The cubic root of 257572 is about 63.6257454145.

The spelling of 257572 in words is "two hundred fifty-seven thousand, five hundred seventy-two".