257272 has 8 divisors (see below), whose sum is σ = 482400. Its totient is φ = 128632.

The previous prime is 257263. The next prime is 257273. The reversal of 257272 is 272752.

It is a tau number, because it is divible by the number of its divisors (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257273) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16072 + ... + 16087.

It is an arithmetic number, because the mean of its divisors is an integer number (60300).

2²⁵⁷²⁷² is an apocalyptic number.

It is an amenable number.

257272 is a deficient number, since it is larger than the sum of its proper divisors (225128).

257272 is a wasteful number, since it uses less digits than its factorization.

257272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32165 (or 32161 counting only the distinct ones).

The product of its digits is 1960, while the sum is 25.

The square root of 257272 is about 507.2198734277. The cubic root of 257272 is about 63.6010336976.

It can be divided in two parts, 257 and 272, that added together give a square (529 = 23²).

The spelling of 257272 in words is "two hundred fifty-seven thousand, two hundred seventy-two".