86575872 has 72 divisors (see below), whose sum is σ = 232361920. Its totient is φ = 28615680.

The previous prime is 86575861. The next prime is 86575873. The reversal of 86575872 is 27857568.

It is a super-2 number, since 2×86575872² = 14990763225120768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (86575873) 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, 106347 + ... + 107157.

Almost surely, 2^86575872 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 86575872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116180960).

86575872 is an abundant number, since it is smaller than the sum of its proper divisors (145786048).

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

86575872 is a wasteful number, since it uses less digits than its factorization.

86575872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 955 counting only the distinct ones).

The product of its digits is 940800, while the sum is 48.

The square root of 86575872 is about 9304.6156288156. The cubic root of 86575872 is about 442.3835385683.

The spelling of 86575872 in words is "eighty-six million, five hundred seventy-five thousand, eight hundred seventy-two".