86272992 has 96 divisors (see below), whose sum is σ = 271020960. Its totient is φ = 26542080.

The previous prime is 86272987. The next prime is 86272993. The reversal of 86272992 is 29927268.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86272993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7392 + ... + 15072.

It is an arithmetic number, because the mean of its divisors is an integer number (2823135).

Almost surely, 2^86272992 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 86272992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135510480).

86272992 is an abundant number, since it is smaller than the sum of its proper divisors (184747968).

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

86272992 is a wasteful number, since it uses less digits than its factorization.

86272992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7713 (or 7699 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 86272992 is about 9288.3255756891. The cubic root of 86272992 is about 441.8670525536.

The spelling of 86272992 in words is "eighty-six million, two hundred seventy-two thousand, nine hundred ninety-two".