257072 has 10 divisors (see below), whose sum is σ = 498108. Its totient is φ = 128528.

The previous prime is 257069. The next prime is 257077. The reversal of 257072 is 270752.

257072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (257077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8018 + ... + 8049.

2²⁵⁷⁰⁷² is an apocalyptic number.

It is an amenable number.

257072 is a deficient number, since it is larger than the sum of its proper divisors (241036).

257072 is a wasteful number, since it uses less digits than its factorization.

257072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16075 (or 16069 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 23.

The square root of 257072 is about 507.0226819384. The cubic root of 257072 is about 63.5845485452.

Subtracting from 257072 its sum of digits (23), we obtain a square (257049 = 507²).

The spelling of 257072 in words is "two hundred fifty-seven thousand, seventy-two".