55752 has 32 divisors (see below), whose sum is σ = 146880. Its totient is φ = 17600.

The previous prime is 55733. The next prime is 55763. The reversal of 55752 is 25755.

55752 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 15.

It is an unprimeable number.

55752 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, 502 + ... + 602.

It is an arithmetic number, because the mean of its divisors is an integer number (4590).

2⁵⁵⁷⁵² 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 55752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73440).

55752 is an abundant number, since it is smaller than the sum of its proper divisors (91128).

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

55752 is a wasteful number, since it uses less digits than its factorization.

55752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 129 counting only the distinct ones).

The product of its digits is 1750, while the sum is 24.

The square root of 55752 is about 236.1186142599. The cubic root of 55752 is about 38.2020630630.

The spelling of 55752 in words is "fifty-five thousand, seven hundred fifty-two".