57573152 has 96 divisors (see below), whose sum is σ = 147837312. Its totient is φ = 21417984.

The previous prime is 57573151. The next prime is 57573181. The reversal of 57573152 is 25137575.

It is not an unprimeable number, because it can be changed into a prime (57573151) 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, 48923 + ... + 50085.

It is an arithmetic number, because the mean of its divisors is an integer number (1539972).

Almost surely, 2^57573152 is an apocalyptic number.

57573152 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57573152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73918656).

57573152 is an abundant number, since it is smaller than the sum of its proper divisors (90264160).

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

57573152 is a wasteful number, since it uses less digits than its factorization.

57573152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1202 counting only the distinct ones).

The product of its digits is 36750, while the sum is 35.

The square root of 57573152 is about 7587.6974109410. The cubic root of 57573152 is about 386.1357411398.

The spelling of 57573152 in words is "fifty-seven million, five hundred seventy-three thousand, one hundred fifty-two".