85372672 has 144 divisors (see below), whose sum is σ = 218985984. Its totient is φ = 32256000.

The previous prime is 85372669. The next prime is 85372699. The reversal of 85372672 is 27627358.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1202397 + ... + 1202467.

It is an arithmetic number, because the mean of its divisors is an integer number (1520736).

Almost surely, 2^85372672 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 85372672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109492992).

85372672 is an abundant number, since it is smaller than the sum of its proper divisors (133613312).

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

85372672 is a wasteful number, since it uses less digits than its factorization.

85372672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 152 counting only the distinct ones).

The product of its digits is 141120, while the sum is 40.

The square root of 85372672 is about 9239.7333294852. The cubic root of 85372672 is about 440.3246089465.

The spelling of 85372672 in words is "eighty-five million, three hundred seventy-two thousand, six hundred seventy-two".