86172576 has 96 divisors (see below), whose sum is σ = 263894400. Its totient is φ = 24611328.

The previous prime is 86172571. The next prime is 86172577. The reversal of 86172576 is 67527168.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (86172571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31620 + ... + 34236.

It is an arithmetic number, because the mean of its divisors is an integer number (2748900).

Almost surely, 2^86172576 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 86172576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131947200).

86172576 is an abundant number, since it is smaller than the sum of its proper divisors (177721824).

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

86172576 is a wasteful number, since it uses less digits than its factorization.

86172576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2651 (or 2629 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The square root of 86172576 is about 9282.9185065905. The cubic root of 86172576 is about 441.6955514197.

It can be divided in two parts, 861 and 72576, that added together give a palindrome (73437).

The spelling of 86172576 in words is "eighty-six million, one hundred seventy-two thousand, five hundred seventy-six".