85180172 has 48 divisors (see below), whose sum is σ = 186617088. Its totient is φ = 33049920.

The previous prime is 85180127. The next prime is 85180213. The reversal of 85180172 is 27108158.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106478 + ... + 107274.

It is an arithmetic number, because the mean of its divisors is an integer number (3887856).

Almost surely, 2^85180172 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 85180172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93308544).

85180172 is an abundant number, since it is smaller than the sum of its proper divisors (101436916).

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

85180172 is a wasteful number, since it uses less digits than its factorization.

85180172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 32.

The square root of 85180172 is about 9229.3104834543. The cubic root of 85180172 is about 439.9934089922.

The spelling of 85180172 in words is "eighty-five million, one hundred eighty thousand, one hundred seventy-two".