57527232 has 112 divisors (see below), whose sum is σ = 181612032. Its totient is φ = 15713280.

The previous prime is 57527221. The next prime is 57527233. The reversal of 57527232 is 23272575.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 57527193 and 57527202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57527233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29982 + ... + 31842.

It is an arithmetic number, because the mean of its divisors is an integer number (1621536).

Almost surely, 2^57527232 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 57527232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90806016).

57527232 is an abundant number, since it is smaller than the sum of its proper divisors (124084800).

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

57527232 is a wasteful number, since it uses less digits than its factorization.

57527232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906 (or 1896 counting only the distinct ones).

The product of its digits is 29400, while the sum is 33.

The square root of 57527232 is about 7584.6708564050. The cubic root of 57527232 is about 386.0330539853.

The spelling of 57527232 in words is "fifty-seven million, five hundred twenty-seven thousand, two hundred thirty-two".