85720 has 16 divisors (see below), whose sum is σ = 192960. Its totient is φ = 34272.

The previous prime is 85717. The next prime is 85733. The reversal of 85720 is 2758.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 85691 and 85700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1032 + ... + 1111.

It is an arithmetic number, because the mean of its divisors is an integer number (12060).

2⁸⁵⁷²⁰ is an apocalyptic number.

It is an amenable number.

85720 is an abundant number, since it is smaller than the sum of its proper divisors (107240).

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 (96480).

85720 is a wasteful number, since it uses less digits than its factorization.

85720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2154 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 85720 is about 292.7797807226. The cubic root of 85720 is about 44.0920936116.

The spelling of 85720 in words is "eighty-five thousand, seven hundred twenty".