58752 has 64 divisors (see below), whose sum is σ = 183600. Its totient is φ = 18432.

The previous prime is 58741. The next prime is 58757. The reversal of 58752 is 25785.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2800) is a multiple of the sum of its prime factors (40).

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58757) by changing a digit.

58752 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3448 + ... + 3464.

2⁵⁸⁷⁵² 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 58752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91800).

58752 is an abundant number, since it is smaller than the sum of its proper divisors (124848).

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

58752 is a wasteful number, since it uses less digits than its factorization.

58752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 22 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 58752 is about 242.3881185207. The cubic root of 58752 is about 38.8753416153.

The spelling of 58752 in words is "fifty-eight thousand, seven hundred fifty-two".