257872 has 20 divisors (see below), whose sum is σ = 508896. Its totient is φ = 126560.

The previous prime is 257869. The next prime is 257879. The reversal of 257872 is 278752.

257872 is nontrivially palindromic in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1023 + ... + 1249.

2²⁵⁷⁸⁷² is an apocalyptic number.

It is an amenable number.

257872 is a deficient number, since it is larger than the sum of its proper divisors (251024).

257872 is a wasteful number, since it uses less digits than its factorization.

257872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 300 counting only the distinct ones).

The product of its digits is 7840, while the sum is 31.

The square root of 257872 is about 507.8109884593. The cubic root of 257872 is about 63.6504379507.

The spelling of 257872 in words is "two hundred fifty-seven thousand, eight hundred seventy-two".