57752 has 8 divisors (see below), whose sum is σ = 108300. Its totient is φ = 28872.

The previous prime is 57751. The next prime is 57773. The reversal of 57752 is 25775.

It is a tau number, because it is divible by the number of its divisors (8).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3602 + ... + 3617.

2⁵⁷⁷⁵² is an apocalyptic number.

It is an amenable number.

57752 is a deficient number, since it is larger than the sum of its proper divisors (50548).

57752 is a wasteful number, since it uses less digits than its factorization.

57752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7225 (or 7221 counting only the distinct ones).

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

The square root of 57752 is about 240.3164580298. The cubic root of 57752 is about 38.6535164689.

The spelling of 57752 in words is "fifty-seven thousand, seven hundred fifty-two".