115392672 has 72 divisors (see below), whose sum is σ = 333758880. Its totient is φ = 37806720.

The previous prime is 115392647. The next prime is 115392689. The reversal of 115392672 is 276293511.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13597 + ... + 20387.

It is an arithmetic number, because the mean of its divisors is an integer number (4635540).

Almost surely, 2^115392672 is an apocalyptic number.

115392672 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 115392672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166879440).

115392672 is an abundant number, since it is smaller than the sum of its proper divisors (218366208).

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

115392672 is a wasteful number, since it uses less digits than its factorization.

115392672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6866 (or 6855 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 115392672 is about 10742.0981190827. The cubic root of 115392672 is about 486.8472747643.

The spelling of 115392672 in words is "one hundred fifteen million, three hundred ninety-two thousand, six hundred seventy-two".