57752352 has 144 divisors (see below), whose sum is σ = 194830272. Its totient is φ = 16485120.

The previous prime is 57752347. The next prime is 57752353. The reversal of 57752352 is 25325775.

It is a happy number.

57752352 is a `hidden beast` number, since 577 + 52 + 35 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (57752353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53902 + ... + 54962.

It is an arithmetic number, because the mean of its divisors is an integer number (1352988).

Almost surely, 2^57752352 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 57752352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97415136).

57752352 is an abundant number, since it is smaller than the sum of its proper divisors (137077920).

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

57752352 is a wasteful number, since it uses less digits than its factorization.

57752352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1073 counting only the distinct ones).

The product of its digits is 73500, while the sum is 36.

The square root of 57752352 is about 7599.4968254484. The cubic root of 57752352 is about 386.5359500017.

The spelling of 57752352 in words is "fifty-seven million, seven hundred fifty-two thousand, three hundred fifty-two".