57598272 has 126 divisors (see below), whose sum is σ = 174870618. Its totient is φ = 18123264.

The previous prime is 57598271. The next prime is 57598297. The reversal of 57598272 is 27289575.

It is a happy number.

57598272 is a `hidden beast` number, since 57 + 598 + 2 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40755456 + 16842816 = 6384^2 + 4104^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57598271) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 207798 + ... + 208074.

Almost surely, 2^57598272 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 57598272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87435309).

57598272 is an abundant number, since it is smaller than the sum of its proper divisors (117272346).

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

57598272 is a wasteful number, since it uses less digits than its factorization.

57598272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 301 counting only the distinct ones).

The product of its digits is 352800, while the sum is 45.

The square root of 57598272 is about 7589.3525415545. The cubic root of 57598272 is about 386.1918918461.

The spelling of 57598272 in words is "fifty-seven million, five hundred ninety-eight thousand, two hundred seventy-two".