115352352 has 72 divisors (see below), whose sum is σ = 336068460. Its totient is φ = 37509120.

The previous prime is 115352317. The next prime is 115352353. The reversal of 115352352 is 253253511.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 100881936 + 14470416 = 10044^2 + 3804^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×115352352² = 26612330223863808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (115352353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6924 + ... + 16692.

Almost surely, 2^115352352 is an apocalyptic number.

115352352 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 115352352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168034230).

115352352 is an abundant number, since it is smaller than the sum of its proper divisors (220716108).

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

115352352 is a wasteful number, since it uses less digits than its factorization.

115352352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9826 (or 9815 counting only the distinct ones).

The product of its digits is 4500, while the sum is 27.

The square root of 115352352 is about 10740.2212267718. The cubic root of 115352352 is about 486.7905641474.

The spelling of 115352352 in words is "one hundred fifteen million, three hundred fifty-two thousand, three hundred fifty-two".