115772292 has 72 divisors (see below), whose sum is σ = 304962840. Its totient is φ = 36986880.

The previous prime is 115772287. The next prime is 115772323. The reversal of 115772292 is 292277511.

It can be written as a sum of positive squares in 4 ways, for example, as 68657796 + 47114496 = 8286^2 + 6864^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 180292 + ... + 180932.

It is an arithmetic number, because the mean of its divisors is an integer number (4235595).

Almost surely, 2^115772292 is an apocalyptic number.

115772292 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 115772292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152481420).

115772292 is an abundant number, since it is smaller than the sum of its proper divisors (189190548).

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

115772292 is a wasteful number, since it uses less digits than its factorization.

115772292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 848 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 115772292 is about 10759.7533428978. The cubic root of 115772292 is about 487.3805687709.

The spelling of 115772292 in words is "one hundred fifteen million, seven hundred seventy-two thousand, two hundred ninety-two".