115072864 has 72 divisors (see below), whose sum is σ = 251587728. Its totient is φ = 51701760.

The previous prime is 115072861. The next prime is 115072879. The reversal of 115072864 is 468270511.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115072861) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 212434 + ... + 212974.

It is an arithmetic number, because the mean of its divisors is an integer number (3494274).

Almost surely, 2^115072864 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 115072864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125793864).

115072864 is an abundant number, since it is smaller than the sum of its proper divisors (136514864).

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

115072864 is a wasteful number, since it uses less digits than its factorization.

115072864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 115072864 is about 10727.2020583188. The cubic root of 115072864 is about 486.3970968057.

The spelling of 115072864 in words is "one hundred fifteen million, seventy-two thousand, eight hundred sixty-four".