57202432 has 72 divisors (see below), whose sum is σ = 132009696. Its totient is φ = 24231936.

The previous prime is 57202417. The next prime is 57202459. The reversal of 57202432 is 23420275.

It is a junction number, because it is equal to n+sod(n) for n = 57202397 and 57202406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245388 + ... + 245620.

It is an arithmetic number, because the mean of its divisors is an integer number (1833468).

Almost surely, 2^57202432 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 57202432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66004848).

57202432 is an abundant number, since it is smaller than the sum of its proper divisors (74807264).

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

57202432 is a wasteful number, since it uses less digits than its factorization.

57202432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The square root of 57202432 is about 7563.2289400758. The cubic root of 57202432 is about 385.3051653706.

The spelling of 57202432 in words is "fifty-seven million, two hundred two thousand, four hundred thirty-two".