115927200 has 180 divisors, whose sum is σ = 423000270. Its totient is φ = 30896640.

The previous prime is 115927193. The next prime is 115927237. The reversal of 115927200 is 2729511.

115927200 is a `hidden beast` number, since 1 + 1 + 592 + 72 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 108243216 + 7683984 = 10404^2 + 2772^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 63906 + ... + 65694.

Almost surely, 2^115927200 is an apocalyptic number.

115927200 is a gapful number since it is divisible by the number (10) 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 115927200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211500135).

115927200 is an abundant number, since it is smaller than the sum of its proper divisors (307073070).

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

115927200 is a wasteful number, since it uses less digits than its factorization.

115927200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821 (or 1799 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 115927200 is about 10766.9494286915. The cubic root of 115927200 is about 487.5978501808.

The spelling of 115927200 in words is "one hundred fifteen million, nine hundred twenty-seven thousand, two hundred".