115872000 has 288 divisors, whose sum is σ = 413247744. Its totient is φ = 28672000.

The previous prime is 115871981. The next prime is 115872041. The reversal of 115872000 is 278511.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1631965 + ... + 1632035.

It is an arithmetic number, because the mean of its divisors is an integer number (1434888).

Almost surely, 2^115872000 is an apocalyptic number.

115872000 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 115872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206623872).

115872000 is an abundant number, since it is smaller than the sum of its proper divisors (297375744).

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

115872000 is an equidigital number, since it uses as much as digits as its factorization.

115872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 115872000 is about 10764.3857233007. The cubic root of 115872000 is about 487.5204462167.

The spelling of 115872000 in words is "one hundred fifteen million, eight hundred seventy-two thousand".