85672 has 8 divisors (see below), whose sum is σ = 160650. Its totient is φ = 42832.

The previous prime is 85669. The next prime is 85691. The reversal of 85672 is 27658.

85672 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in only one way, i.e., 51076 + 34596 = 226^2 + 186^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 85672.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5347 + ... + 5362.

2⁸⁵⁶⁷² is an apocalyptic number.

It is an amenable number.

85672 is a deficient number, since it is larger than the sum of its proper divisors (74978).

85672 is a wasteful number, since it uses less digits than its factorization.

85672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10715 (or 10711 counting only the distinct ones).

The product of its digits is 3360, while the sum is 28.

The square root of 85672 is about 292.6977963702. The cubic root of 85672 is about 44.0838620995.

It can be divided in two parts, 85 and 672, that added together give a palindrome (757).

The spelling of 85672 in words is "eighty-five thousand, six hundred seventy-two".