115273872 has 270 divisors, whose sum is σ = 410583654. Its totient is φ = 29998080.

The previous prime is 115273871. The next prime is 115273891. The reversal of 115273872 is 278372511.

It can be written as a sum of positive squares in only one way, i.e., 108493056 + 6780816 = 10416^2 + 2604^2 .

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

Its product of digits (23520) is a multiple of the sum of its prime divisors (60).

It is not an unprimeable number, because it can be changed into a prime (115273871) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3718497 + ... + 3718527.

Almost surely, 2^115273872 is an apocalyptic number.

115273872 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 115273872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205291827).

115273872 is an abundant number, since it is smaller than the sum of its proper divisors (295309782).

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

115273872 is a wasteful number, since it uses less digits than its factorization.

115273872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 60 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 115273872 is about 10736.5670491084. The cubic root of 115273872 is about 486.6801430767.

The spelling of 115273872 in words is "one hundred fifteen million, two hundred seventy-three thousand, eight hundred seventy-two".