86558272 has 56 divisors (see below), whose sum is σ = 179451000. Its totient is φ = 41373696.

The previous prime is 86558249. The next prime is 86558273. The reversal of 86558272 is 27285568.

It can be written as a sum of positive squares in 4 ways, for example, as 2359296 + 84198976 = 1536^2 + 9176^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86558273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 276388 + ... + 276700.

Almost surely, 2^86558272 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 86558272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89725500).

86558272 is an abundant number, since it is smaller than the sum of its proper divisors (92892728).

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

86558272 is a wasteful number, since it uses less digits than its factorization.

86558272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 493 counting only the distinct ones).

The product of its digits is 268800, while the sum is 43.

The square root of 86558272 is about 9303.6698135736. The cubic root of 86558272 is about 442.3535591688.

The spelling of 86558272 in words is "eighty-six million, five hundred fifty-eight thousand, two hundred seventy-two".