86290272 has 120 divisors (see below), whose sum is σ = 256681656. Its totient is φ = 28553472.

The previous prime is 86290271. The next prime is 86290289. The reversal of 86290272 is 27209268.

86290272 is a `hidden beast` number, since 8 + 629 + 0 + 27 + 2 = 666.

It is a super-2 number, since 2×86290272² = 14892022083667968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86290271) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 629788 + ... + 629924.

Almost surely, 2^86290272 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 86290272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128340828).

86290272 is an abundant number, since it is smaller than the sum of its proper divisors (170391384).

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

86290272 is an frugal number, since it uses more digits than its factorization.

86290272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 86290272 is about 9289.2557290668. The cubic root of 86290272 is about 441.8965517544.

The spelling of 86290272 in words is "eighty-six million, two hundred ninety thousand, two hundred seventy-two".