86518272 has 160 divisors (see below), whose sum is σ = 251412480. Its totient is φ = 26357760.

The previous prime is 86518183. The next prime is 86518273. The reversal of 86518272 is 27281568.

It is a super-2 number, since 2×86518272² = 14970822779731968, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 86518272.

It is not an unprimeable number, because it can be changed into a prime (86518273) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1095129 + ... + 1095207.

It is an arithmetic number, because the mean of its divisors is an integer number (1571328).

Almost surely, 2^86518272 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 86518272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125706240).

86518272 is an abundant number, since it is smaller than the sum of its proper divisors (164894208).

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

86518272 is a wasteful number, since it uses less digits than its factorization.

86518272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 138 counting only the distinct ones).

The product of its digits is 53760, while the sum is 39.

The square root of 86518272 is about 9301.5198758052. The cubic root of 86518272 is about 442.2854090535.

The spelling of 86518272 in words is "eighty-six million, five hundred eighteen thousand, two hundred seventy-two".