115906672 has 80 divisors (see below), whose sum is σ = 269482752. Its totient is φ = 47255040.

The previous prime is 115906657. The next prime is 115906673. The reversal of 115906672 is 276609511.

It is a super-2 number, since 2×115906672² = 26868713228231168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115906673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197163 + ... + 197749.

Almost surely, 2^115906672 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 115906672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134741376).

115906672 is an abundant number, since it is smaller than the sum of its proper divisors (153576080).

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

115906672 is a wasteful number, since it uses less digits than its factorization.

115906672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The square root of 115906672 is about 10765.9960988289. The cubic root of 115906672 is about 487.5690677509.

The spelling of 115906672 in words is "one hundred fifteen million, nine hundred six thousand, six hundred seventy-two".