57752000 has 56 divisors (see below), whose sum is σ = 143042640. Its totient is φ = 23097600.

The previous prime is 57751999. The next prime is 57752003. The reversal of 57752000 is 25775.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57752003) 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, 4391 + ... + 11609.

Almost surely, 2^57752000 is an apocalyptic number.

57752000 is a gapful number since it is divisible by the number (50) 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 57752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71521320).

57752000 is an abundant number, since it is smaller than the sum of its proper divisors (85290640).

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

57752000 is an equidigital number, since it uses as much as digits as its factorization.

57752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7246 (or 7226 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 26.

The square root of 57752000 is about 7599.4736659850. The cubic root of 57752000 is about 386.5351646892.

Adding to 57752000 its reverse (25775), we get a palindrome (57777775).

The spelling of 57752000 in words is "fifty-seven million, seven hundred fifty-two thousand".