88752 has 30 divisors (see below), whose sum is σ = 234732. Its totient is φ = 28896.

The previous prime is 88747. The next prime is 88771. The reversal of 88752 is 25788.

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2043 + ... + 2085.

2⁸⁸⁷⁵² 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 88752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117366).

88752 is an abundant number, since it is smaller than the sum of its proper divisors (145980).

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

88752 is a wasteful number, since it uses less digits than its factorization.

88752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 48 counting only the distinct ones).

The product of its digits is 4480, while the sum is 30.

The square root of 88752 is about 297.9127389018. The cubic root of 88752 is about 44.6059420854.

It can be divided in two parts, 887 and 52, that added together give a palindrome (939).

The spelling of 88752 in words is "eighty-eight thousand, seven hundred fifty-two".