257772672 has 64 divisors (see below), whose sum is σ = 760797600. Its totient is φ = 85923072.

The previous prime is 257772667. The next prime is 257772689. The reversal of 257772672 is 276277752.

257772672 is a `hidden beast` number, since 2 + 577 + 7 + 2 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33838 + ... + 40749.

Almost surely, 2^257772672 is an apocalyptic number.

It is an amenable number.

257772672 is an abundant number, since it is smaller than the sum of its proper divisors (503024928).

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

257772672 is an equidigital number, since it uses as much as digits as its factorization.

257772672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74610 (or 74592 counting only the distinct ones).

The product of its digits is 576240, while the sum is 45.

The square root of 257772672 is about 16055.3004331903. The cubic root of 257772672 is about 636.4226453827.

The spelling of 257772672 in words is "two hundred fifty-seven million, seven hundred seventy-two thousand, six hundred seventy-two".