57582272 has 56 divisors (see below), whose sum is σ = 125528832. Its totient is φ = 25990400.

The previous prime is 57582263. The next prime is 57582277. The reversal of 57582272 is 27228575.

It is not an unprimeable number, because it can be changed into a prime (57582277) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184997 + ... + 185307.

Almost surely, 2^57582272 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 57582272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62764416).

57582272 is an abundant number, since it is smaller than the sum of its proper divisors (67946560).

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

57582272 is a wasteful number, since it uses less digits than its factorization.

57582272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 587 counting only the distinct ones).

The product of its digits is 78400, while the sum is 38.

The square root of 57582272 is about 7588.2983599750. The cubic root of 57582272 is about 386.1561289531.

The spelling of 57582272 in words is "fifty-seven million, five hundred eighty-two thousand, two hundred seventy-two".