86072 has 32 divisors (see below), whose sum is σ = 194400. Its totient is φ = 34944.

The previous prime is 86069. The next prime is 86077. The reversal of 86072 is 27068.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1598 + ... + 1650.

It is an arithmetic number, because the mean of its divisors is an integer number (6075).

2⁸⁶⁰⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97200).

86072 is an abundant number, since it is smaller than the sum of its proper divisors (108328).

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

86072 is a wasteful number, since it uses less digits than its factorization.

86072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 86072 is about 293.3802992704. The cubic root of 86072 is about 44.1523643418.

The spelling of 86072 in words is "eighty-six thousand, seventy-two".