86281272 has 192 divisors, whose sum is σ = 296524800. Its totient is φ = 22014720.

The previous prime is 86281271. The next prime is 86281289. The reversal of 86281272 is 27218268.

It is a happy number.

86281272 is a `hidden beast` number, since 8 + 628 + 1 + 27 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86281271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 437878 + ... + 438074.

It is an arithmetic number, because the mean of its divisors is an integer number (1544400).

Almost surely, 2^86281272 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 86281272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148262400).

86281272 is an abundant number, since it is smaller than the sum of its proper divisors (210243528).

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

86281272 is a wasteful number, since it uses less digits than its factorization.

86281272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 299 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 86281272 is about 9288.7712858052. The cubic root of 86281272 is about 441.8811880788.

The spelling of 86281272 in words is "eighty-six million, two hundred eighty-one thousand, two hundred seventy-two".