115472160 has 288 divisors, whose sum is σ = 429876720. Its totient is φ = 28114944.

The previous prime is 115472129. The next prime is 115472191. The reversal of 115472160 is 61274511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (115472129) and next prime (115472191).

It can be written as a sum of positive squares in 8 ways, for example, as 60652944 + 54819216 = 7788^2 + 7404^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1297396 + ... + 1297484.

Almost surely, 2^115472160 is an apocalyptic number.

115472160 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 115472160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214938360).

115472160 is an abundant number, since it is smaller than the sum of its proper divisors (314404560).

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

115472160 is a wasteful number, since it uses less digits than its factorization.

115472160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 115472160 is about 10745.7973180216. The cubic root of 115472160 is about 486.9590370138.

The spelling of 115472160 in words is "one hundred fifteen million, four hundred seventy-two thousand, one hundred sixty".