115075072 has 96 divisors (see below), whose sum is σ = 275184000. Its totient is φ = 47038464.

The previous prime is 115075063. The next prime is 115075087. The reversal of 115075072 is 270570511.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 115075072.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 329554 + ... + 329902.

It is an arithmetic number, because the mean of its divisors is an integer number (2866500).

Almost surely, 2^115075072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115075072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137592000).

115075072 is an abundant number, since it is smaller than the sum of its proper divisors (160108928).

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

115075072 is an equidigital number, since it uses as much as digits as its factorization.

115075072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 28.

The square root of 115075072 is about 10727.3049737574. The cubic root of 115075072 is about 486.4002077561.

The spelling of 115075072 in words is "one hundred fifteen million, seventy-five thousand, seventy-two".