85172256 has 96 divisors (see below), whose sum is σ = 267563520. Its totient is φ = 26203392.

The previous prime is 85172183. The next prime is 85172257. The reversal of 85172256 is 65227158.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 85172256.

It is not an unprimeable number, because it can be changed into a prime (85172257) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7441 + ... + 15023.

It is an arithmetic number, because the mean of its divisors is an integer number (2787120).

Almost surely, 2^85172256 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 85172256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133781760).

85172256 is an abundant number, since it is smaller than the sum of its proper divisors (182391264).

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

85172256 is a wasteful number, since it uses less digits than its factorization.

85172256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7615 (or 7601 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 85172256 is about 9228.8816223852. The cubic root of 85172256 is about 439.9797786850.

The spelling of 85172256 in words is "eighty-five million, one hundred seventy-two thousand, two hundred fifty-six".