115072160 has 96 divisors (see below), whose sum is σ = 313528320. Its totient is φ = 39094272.

The previous prime is 115072159. The next prime is 115072207. The reversal of 115072160 is 61270511.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141836 + ... + 142644.

It is an arithmetic number, because the mean of its divisors is an integer number (3265920).

Almost surely, 2^115072160 is an apocalyptic number.

115072160 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 115072160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156764160).

115072160 is an abundant number, since it is smaller than the sum of its proper divisors (198456160).

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

115072160 is a wasteful number, since it uses less digits than its factorization.

115072160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 115072160 is about 10727.1692444932. The cubic root of 115072160 is about 486.3961049001.

The spelling of 115072160 in words is "one hundred fifteen million, seventy-two thousand, one hundred sixty".