257672772 has 288 divisors, whose sum is σ = 850348800. Its totient is φ = 67060224.

The previous prime is 257672771. The next prime is 257672777. The reversal of 257672772 is 277276752.

257672772 is a `hidden beast` number, since 2 + 576 + 7 + 2 + 7 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (257672771) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3529728 + ... + 3529800.

It is an arithmetic number, because the mean of its divisors is an integer number (2952600).

Almost surely, 2^257672772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257672772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425174400).

257672772 is an abundant number, since it is smaller than the sum of its proper divisors (592676028).

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

257672772 is a wasteful number, since it uses less digits than its factorization.

257672772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 137 counting only the distinct ones).

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

The square root of 257672772 is about 16052.1890096024. The cubic root of 257672772 is about 636.3404193954.

The spelling of 257672772 in words is "two hundred fifty-seven million, six hundred seventy-two thousand, seven hundred seventy-two".