115872792 has 128 divisors (see below), whose sum is σ = 360038400. Its totient is φ = 30326400.

The previous prime is 115872769. The next prime is 115872797. The reversal of 115872792 is 297278511.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115872797) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98367 + ... + 99537.

It is an arithmetic number, because the mean of its divisors is an integer number (2812800).

Almost surely, 2^115872792 is an apocalyptic number.

115872792 is a gapful number since it is divisible by the number (12) 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 115872792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180019200).

115872792 is an abundant number, since it is smaller than the sum of its proper divisors (244165608).

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

115872792 is a wasteful number, since it uses less digits than its factorization.

115872792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1233 counting only the distinct ones).

The product of its digits is 70560, while the sum is 42.

The square root of 115872792 is about 10764.4225112172. The cubic root of 115872792 is about 487.5215569692.

The spelling of 115872792 in words is "one hundred fifteen million, eight hundred seventy-two thousand, seven hundred ninety-two".