257672 has 16 divisors (see below), whose sum is σ = 499200. Its totient is φ = 124560.

The previous prime is 257671. The next prime is 257687. The reversal of 257672 is 276752.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (257671) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 272 + ... + 767.

It is an arithmetic number, because the mean of its divisors is an integer number (31200).

2²⁵⁷⁶⁷² is an apocalyptic number.

It is an amenable number.

257672 is a deficient number, since it is larger than the sum of its proper divisors (241528).

257672 is a wasteful number, since it uses less digits than its factorization.

257672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076 (or 1072 counting only the distinct ones).

The product of its digits is 5880, while the sum is 29.

The square root of 257672 is about 507.6140265990. The cubic root of 257672 is about 63.6339783893.

It can be divided in two parts, 257 and 672, that added together give a palindrome (929).

The spelling of 257672 in words is "two hundred fifty-seven thousand, six hundred seventy-two".