115752 has 64 divisors (see below), whose sum is σ = 362880. Its totient is φ = 29952.

The previous prime is 115751. The next prime is 115757. The reversal of 115752 is 257511.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 115752.

It is not an unprimeable number, because it can be changed into a prime (115751) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2158 + ... + 2210.

It is an arithmetic number, because the mean of its divisors is an integer number (5670).

2¹¹⁵⁷⁵² is an apocalyptic number.

115752 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 115752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440).

115752 is an abundant number, since it is smaller than the sum of its proper divisors (247128).

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

115752 is a wasteful number, since it uses less digits than its factorization.

115752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 78 counting only the distinct ones).

The product of its digits is 350, while the sum is 21.

The square root of 115752 is about 340.2234559815. The cubic root of 115752 is about 48.7352091881.

It can be divided in two parts, 1 and 15752, that added together give a triangular number (15753 = T₁₇₇).

The spelling of 115752 in words is "one hundred fifteen thousand, seven hundred fifty-two".