86508072 has 96 divisors (see below), whose sum is σ = 275059200. Its totient is φ = 24043392.

The previous prime is 86508067. The next prime is 86508091. The reversal of 86508072 is 27080568.

86508072 is a `hidden beast` number, since 86 + 508 + 0 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16329 + ... + 20967.

It is an arithmetic number, because the mean of its divisors is an integer number (2865200).

Almost surely, 2^86508072 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 86508072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137529600).

86508072 is an abundant number, since it is smaller than the sum of its proper divisors (188551128).

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

86508072 is a wasteful number, since it uses less digits than its factorization.

86508072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4695 (or 4688 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 86508072 is about 9300.9715621541. The cubic root of 86508072 is about 442.2680274132.

The spelling of 86508072 in words is "eighty-six million, five hundred eight thousand, seventy-two".