85972 has 6 divisors (see below), whose sum is σ = 150458. Its totient is φ = 42984.

The previous prime is 85933. The next prime is 85991. The reversal of 85972 is 27958.

It can be written as a sum of positive squares in only one way, i.e., 55696 + 30276 = 236^2 + 174^2 .

It is a plaindrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10743 + ... + 10750.

2⁸⁵⁹⁷² is an apocalyptic number.

It is an amenable number.

85972 is a deficient number, since it is larger than the sum of its proper divisors (64486).

85972 is a wasteful number, since it uses less digits than its factorization.

85972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21497 (or 21495 counting only the distinct ones).

The product of its digits is 5040, while the sum is 31.

The square root of 85972 is about 293.2098224821. The cubic root of 85972 is about 44.1352587115.

The spelling of 85972 in words is "eighty-five thousand, nine hundred seventy-two".