86995872 has 72 divisors (see below), whose sum is σ = 252697536. Its totient is φ = 28377216.

The previous prime is 86995859. The next prime is 86995873. The reversal of 86995872 is 27859968.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (86995873) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10323 + ... + 16749.

It is an arithmetic number, because the mean of its divisors is an integer number (3509688).

Almost surely, 2^86995872 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 86995872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126348768).

86995872 is an abundant number, since it is smaller than the sum of its proper divisors (165701664).

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

86995872 is a wasteful number, since it uses less digits than its factorization.

86995872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6490 (or 6479 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 86995872 is about 9327.1577664367. The cubic root of 86995872 is about 443.0977538729.

The spelling of 86995872 in words is "eighty-six million, nine hundred ninety-five thousand, eight hundred seventy-two".