115872800 has 72 divisors (see below), whose sum is σ = 284520852. Its totient is φ = 46080000.

The previous prime is 115872797. The next prime is 115872817. The reversal of 115872800 is 8278511.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 78074896 + 37797904 = 8836^2 + 6148^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 192500 + ... + 193100.

Almost surely, 2^115872800 is an apocalyptic number.

115872800 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 115872800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142260426).

115872800 is an abundant number, since it is smaller than the sum of its proper divisors (168648052).

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

115872800 is a wasteful number, since it uses less digits than its factorization.

115872800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 32.

The square root of 115872800 is about 10764.4228828117. The cubic root of 115872800 is about 487.5215681889.

The spelling of 115872800 in words is "one hundred fifteen million, eight hundred seventy-two thousand, eight hundred".