85722832 has 80 divisors (see below), whose sum is σ = 190960000. Its totient is φ = 36951552.

The previous prime is 85722827. The next prime is 85722859. The reversal of 85722832 is 23822758.

It is a super-2 number, since 2×85722832² = 14696807852200448, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85722791 and 85722800.

It is a congruent 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, 430669 + ... + 430867.

It is an arithmetic number, because the mean of its divisors is an integer number (2387000).

Almost surely, 2^85722832 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 85722832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95480000).

85722832 is an abundant number, since it is smaller than the sum of its proper divisors (105237168).

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

85722832 is a wasteful number, since it uses less digits than its factorization.

85722832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 342 counting only the distinct ones).

The product of its digits is 53760, while the sum is 37.

The square root of 85722832 is about 9258.6625384015. The cubic root of 85722832 is about 440.9257917480.

The spelling of 85722832 in words is "eighty-five million, seven hundred twenty-two thousand, eight hundred thirty-two".