115257072 has 160 divisors (see below), whose sum is σ = 357056512. Its totient is φ = 31352832.

The previous prime is 115257053. The next prime is 115257119. The reversal of 115257072 is 270752511.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 907473 + ... + 907599.

Almost surely, 2^115257072 is an apocalyptic number.

115257072 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 115257072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178528256).

115257072 is an abundant number, since it is smaller than the sum of its proper divisors (241799440).

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

115257072 is a wasteful number, since it uses less digits than its factorization.

115257072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 30.

The square root of 115257072 is about 10735.7846476166. The cubic root of 115257072 is about 486.6564990265.

The spelling of 115257072 in words is "one hundred fifteen million, two hundred fifty-seven thousand, seventy-two".