115292672 has 60 divisors (see below), whose sum is σ = 253341858. Its totient is φ = 52377600.

The previous prime is 115292669. The next prime is 115292687. The reversal of 115292672 is 276292511.

It can be written as a sum of positive squares in only one way, i.e., 115261696 + 30976 = 10736^2 + 176^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61022 + ... + 62882.

Almost surely, 2^115292672 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 115292672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126670929).

115292672 is an abundant number, since it is smaller than the sum of its proper divisors (138049186).

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

115292672 is an equidigital number, since it uses as much as digits as its factorization.

115292672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1874 counting only the distinct ones).

The product of its digits is 15120, while the sum is 35.

The square root of 115292672 is about 10737.4425260394. The cubic root of 115292672 is about 486.7065991711.

The spelling of 115292672 in words is "one hundred fifteen million, two hundred ninety-two thousand, six hundred seventy-two".