115966752 has 96 divisors (see below), whose sum is σ = 334393920. Its totient is φ = 34897920.

The previous prime is 115966751. The next prime is 115966771. The reversal of 115966752 is 257669511.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (115966751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 203524 + ... + 204092.

It is an arithmetic number, because the mean of its divisors is an integer number (3483270).

Almost surely, 2^115966752 is an apocalyptic number.

115966752 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 115966752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167196960).

115966752 is an abundant number, since it is smaller than the sum of its proper divisors (218427168).

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

115966752 is a wasteful number, since it uses less digits than its factorization.

115966752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 778 counting only the distinct ones).

The product of its digits is 113400, while the sum is 42.

The square root of 115966752 is about 10768.7860040025. The cubic root of 115966752 is about 487.6532966947.

The spelling of 115966752 in words is "one hundred fifteen million, nine hundred sixty-six thousand, seven hundred fifty-two".