85872 has 20 divisors (see below), whose sum is σ = 221960. Its totient is φ = 28608.

The previous prime is 85853. The next prime is 85889. The reversal of 85872 is 27858.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

85872 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 847 + ... + 942.

It is an arithmetic number, because the mean of its divisors is an integer number (11098).

2⁸⁵⁸⁷² is an apocalyptic number.

It is an amenable number.

85872 is an abundant number, since it is smaller than the sum of its proper divisors (136088).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110980).

85872 is a wasteful number, since it uses less digits than its factorization.

85872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1794 counting only the distinct ones).

The product of its digits is 4480, while the sum is 30.

The square root of 85872 is about 293.0392465183. The cubic root of 85872 is about 44.1181398115.

It can be divided in two parts, 858 and 72, that multiplied together give a triangular number (61776 = T₃₅₁).

The spelling of 85872 in words is "eighty-five thousand, eight hundred seventy-two".