115867752 has 288 divisors, whose sum is σ = 405557280. Its totient is φ = 27256320.

The previous prime is 115867711. The next prime is 115867753. The reversal of 115867752 is 257768511.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (115867753) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2186158 + ... + 2186210.

It is an arithmetic number, because the mean of its divisors is an integer number (1408185).

Almost surely, 2^115867752 is an apocalyptic number.

115867752 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 115867752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202778640).

115867752 is an abundant number, since it is smaller than the sum of its proper divisors (289689528).

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

115867752 is a wasteful number, since it uses less digits than its factorization.

115867752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 89 counting only the distinct ones).

The product of its digits is 117600, while the sum is 42.

The square root of 115867752 is about 10764.1884041483. The cubic root of 115867752 is about 487.5144884583.

The spelling of 115867752 in words is "one hundred fifteen million, eight hundred sixty-seven thousand, seven hundred fifty-two".