87372 has 24 divisors (see below), whose sum is σ = 226800. Its totient is φ = 29088.

The previous prime is 87359. The next prime is 87383. The reversal of 87372 is 27378.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 297 + ... + 512.

It is an arithmetic number, because the mean of its divisors is an integer number (9450).

2⁸⁷³⁷² is an apocalyptic number.

It is an amenable number.

87372 is an abundant number, since it is smaller than the sum of its proper divisors (139428).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113400).

87372 is a wasteful number, since it uses less digits than its factorization.

87372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 814 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 87372 is about 295.5875504821. The cubic root of 87372 is about 44.3735415774.

The spelling of 87372 in words is "eighty-seven thousand, three hundred seventy-two".