85572 has 18 divisors (see below), whose sum is σ = 216398. Its totient is φ = 28512.

The previous prime is 85571. The next prime is 85577. The reversal of 85572 is 27558.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 69696 + 15876 = 264^2 + 126^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85572.

It is not an unprimeable number, because it can be changed into a prime (85571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1153 + ... + 1224.

2⁸⁵⁵⁷² is an apocalyptic number.

It is an amenable number.

85572 is an abundant number, since it is smaller than the sum of its proper divisors (130826).

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

85572 is a wasteful number, since it uses less digits than its factorization.

85572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387 (or 2382 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 85572 is about 292.5269218380. The cubic root of 85572 is about 44.0667032357.

The spelling of 85572 in words is "eighty-five thousand, five hundred seventy-two".