85372 has 12 divisors (see below), whose sum is σ = 170800. Its totient is φ = 36576.

The previous prime is 85369. The next prime is 85381. The reversal of 85372 is 27358.

85372 is an admirable number.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1497 + ... + 1552.

2⁸⁵³⁷² is an apocalyptic number.

It is an amenable number.

85372 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (85400).

85372 is a wasteful number, since it uses less digits than its factorization.

85372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3060 (or 3058 counting only the distinct ones).

The product of its digits is 1680, while the sum is 25.

The square root of 85372 is about 292.1848729828. The cubic root of 85372 is about 44.0323453624.

It can be divided in two parts, 853 and 72, that multiplied together give a palindrome (61416).

The spelling of 85372 in words is "eighty-five thousand, three hundred seventy-two".