115579872 has 240 divisors, whose sum is σ = 374319792. Its totient is φ = 34836480.

The previous prime is 115579847. The next prime is 115579901. The reversal of 115579872 is 278975511.

115579872 is a `hidden beast` number, since 1 + 1 + 5 + 579 + 8 + 72 = 666.

Its product of digits (176400) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1894722 + ... + 1894782.

Almost surely, 2^115579872 is an apocalyptic number.

115579872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115579872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187159896).

115579872 is an abundant number, since it is smaller than the sum of its proper divisors (258739920).

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

115579872 is a wasteful number, since it uses less digits than its factorization.

115579872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 126 counting only the distinct ones).

The product of its digits is 176400, while the sum is 45.

The square root of 115579872 is about 10750.8079696365. The cubic root of 115579872 is about 487.1104011505.

The spelling of 115579872 in words is "one hundred fifteen million, five hundred seventy-nine thousand, eight hundred seventy-two".