115584072 has 16 divisors (see below), whose sum is σ = 288960240. Its totient is φ = 38528016.

The previous prime is 115584061. The next prime is 115584107. The reversal of 115584072 is 270485511.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2407978 + ... + 2408025.

It is an arithmetic number, because the mean of its divisors is an integer number (18060015).

Almost surely, 2^115584072 is an apocalyptic number.

115584072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

115584072 is an abundant number, since it is smaller than the sum of its proper divisors (173376168).

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

115584072 is a wasteful number, since it uses less digits than its factorization.

115584072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4816012 (or 4816008 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 33.

The square root of 115584072 is about 10751.0033020179. The cubic root of 115584072 is about 487.1163013673.

The spelling of 115584072 in words is "one hundred fifteen million, five hundred eighty-four thousand, seventy-two".