86372 has 24 divisors (see below), whose sum is σ = 178752. Its totient is φ = 36000.

The previous prime is 86371. The next prime is 86381. The reversal of 86372 is 27368.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 86372.

It is not an unprimeable number, because it can be changed into a prime (86371) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 497 + ... + 647.

It is an arithmetic number, because the mean of its divisors is an integer number (7448).

2⁸⁶³⁷² is an apocalyptic number.

It is an amenable number.

86372 is an abundant number, since it is smaller than the sum of its proper divisors (92380).

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 (89376).

86372 is a wasteful number, since it uses less digits than its factorization.

86372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 177 counting only the distinct ones).

The product of its digits is 2016, while the sum is 26.

The square root of 86372 is about 293.8911363073. The cubic root of 86372 is about 44.2036018713.

Adding to 86372 its product of digits (2016), we get a palindrome (88388).

The spelling of 86372 in words is "eighty-six thousand, three hundred seventy-two".