57256272 has 120 divisors (see below), whose sum is σ = 178738560. Its totient is φ = 17003520.

The previous prime is 57256249. The next prime is 57256321. The reversal of 57256272 is 27265275.

57256272 is a `hidden beast` number, since 5 + 7 + 25 + 627 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45897 + ... + 47127.

It is an arithmetic number, because the mean of its divisors is an integer number (1489488).

Almost surely, 2^57256272 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 57256272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89369280).

57256272 is an abundant number, since it is smaller than the sum of its proper divisors (121482288).

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

57256272 is a wasteful number, since it uses less digits than its factorization.

57256272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1272 counting only the distinct ones).

The product of its digits is 58800, while the sum is 36.

The square root of 57256272 is about 7566.7874292860. The cubic root of 57256272 is about 385.4260129424.

The spelling of 57256272 in words is "fifty-seven million, two hundred fifty-six thousand, two hundred seventy-two".