86112072 has 80 divisors (see below), whose sum is σ = 255414060. Its totient is φ = 27012096.

The previous prime is 86112043. The next prime is 86112077. The reversal of 86112072 is 27021168.

It can be written as a sum of positive squares in 2 ways, for example, as 81974916 + 4137156 = 9054^2 + 2034^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (86112077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7108 + ... + 14924.

Almost surely, 2^86112072 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 86112072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127707030).

86112072 is an abundant number, since it is smaller than the sum of its proper divisors (169301988).

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

86112072 is a wasteful number, since it uses less digits than its factorization.

86112072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7852 (or 7839 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 86112072 is about 9279.6590454607. The cubic root of 86112072 is about 441.5921519163.

The spelling of 86112072 in words is "eighty-six million, one hundred twelve thousand, seventy-two".