115772352 has 112 divisors (see below), whose sum is σ = 323039232. Its totient is φ = 36541440.

The previous prime is 115772347. The next prime is 115772353. The reversal of 115772352 is 253277511.

It is a happy number.

It is a super-2 number, since 2×115772352² = 26806474975223808, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115772353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315273 + ... + 315639.

Almost surely, 2^115772352 is an apocalyptic number.

115772352 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 115772352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161519616).

115772352 is an abundant number, since it is smaller than the sum of its proper divisors (207266880).

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

115772352 is a wasteful number, since it uses less digits than its factorization.

115772352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 456 counting only the distinct ones).

The product of its digits is 14700, while the sum is 33.

The square root of 115772352 is about 10759.7561310654. The cubic root of 115772352 is about 487.3806529673.

The spelling of 115772352 in words is "one hundred fifteen million, seven hundred seventy-two thousand, three hundred fifty-two".