85076172 has 72 divisors (see below), whose sum is σ = 230551776. Its totient is φ = 26383104.

The previous prime is 85076161. The next prime is 85076191. The reversal of 85076172 is 27167058.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29248 + ... + 32024.

It is an arithmetic number, because the mean of its divisors is an integer number (3202108).

Almost surely, 2^85076172 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 85076172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115275888).

85076172 is an abundant number, since it is smaller than the sum of its proper divisors (145475604).

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

85076172 is a wasteful number, since it uses less digits than its factorization.

85076172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2847 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 85076172 is about 9223.6745389243. The cubic root of 85076172 is about 439.8142673396.

The spelling of 85076172 in words is "eighty-five million, seventy-six thousand, one hundred seventy-two".