257507272 has 32 divisors (see below), whose sum is σ = 540961920. Its totient is φ = 113883840.

The previous prime is 257507249. The next prime is 257507321. The reversal of 257507272 is 272705752.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36288 + ... + 42799.

It is an arithmetic number, because the mean of its divisors is an integer number (16905060).

Almost surely, 2^257507272 is an apocalyptic number.

257507272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

257507272 is the 8578-th centered heptagonal number.

It is an amenable number.

257507272 is an abundant number, since it is smaller than the sum of its proper divisors (283454648).

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

257507272 is a wasteful number, since it uses less digits than its factorization.

257507272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79141 (or 79137 counting only the distinct ones).

The product of its (nonzero) digits is 68600, while the sum is 37.

The square root of 257507272 is about 16047.0331214215. The cubic root of 257507272 is about 636.2041523851.

The spelling of 257507272 in words is "two hundred fifty-seven million, five hundred seven thousand, two hundred seventy-two".