88672 has 24 divisors (see below), whose sum is σ = 185976. Its totient is φ = 41472.

The previous prime is 88667. The next prime is 88681. The reversal of 88672 is 27688.

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

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 in 3 ways as a sum of consecutive naturals, for example, 463 + ... + 625.

It is an arithmetic number, because the mean of its divisors is an integer number (7749).

2⁸⁸⁶⁷² 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 88672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92988).

88672 is an abundant number, since it is smaller than the sum of its proper divisors (97304).

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

88672 is a wasteful number, since it uses less digits than its factorization.

88672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 182 counting only the distinct ones).

The product of its digits is 5376, while the sum is 31.

The square root of 88672 is about 297.7784411270. The cubic root of 88672 is about 44.5925356341.

The spelling of 88672 in words is "eighty-eight thousand, six hundred seventy-two".