85172 has 12 divisors (see below), whose sum is σ = 151200. Its totient is φ = 41976.

The previous prime is 85159. The next prime is 85193. The reversal of 85172 is 27158.

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85172.

It is an unprimeable number.

85172 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 329 + ... + 527.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2⁸⁵¹⁷² is an apocalyptic number.

It is an amenable number.

85172 is a deficient number, since it is larger than the sum of its proper divisors (66028).

85172 is a wasteful number, since it uses less digits than its factorization.

85172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 308 counting only the distinct ones).

The product of its digits is 560, while the sum is 23.

The square root of 85172 is about 291.8424232356. The cubic root of 85172 is about 43.9979337873.

The spelling of 85172 in words is "eighty-five thousand, one hundred seventy-two".