88872 has 48 divisors (see below), whose sum is σ = 265440. Its totient is φ = 24288.

The previous prime is 88867. The next prime is 88873. The reversal of 88872 is 27888.

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (88873) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3853 + ... + 3875.

It is an arithmetic number, because the mean of its divisors is an integer number (5530).

2⁸⁸⁸⁷² 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 88872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132720).

88872 is an abundant number, since it is smaller than the sum of its proper divisors (176568).

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

88872 is a wasteful number, since it uses less digits than its factorization.

88872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 35 counting only the distinct ones).

The product of its digits is 7168, while the sum is 33.

The square root of 88872 is about 298.1140721268. The cubic root of 88872 is about 44.6260366651.

It can be divided in two parts, 888 and 72, that multiplied together give a palindrome (63936).

The spelling of 88872 in words is "eighty-eight thousand, eight hundred seventy-two".