115720 has 32 divisors (see below), whose sum is σ = 285120. Its totient is φ = 41920.

The previous prime is 115693. The next prime is 115727. The reversal of 115720 is 27511.

It is a super-2 number, since 2×115720² = 26782236800, which contains 22 as substring.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 115694 and 115703.

It is not an unprimeable number, because it can be changed into a prime (115727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 309 + ... + 571.

It is an arithmetic number, because the mean of its divisors is an integer number (8910).

2¹¹⁵⁷²⁰ is an apocalyptic number.

115720 is a gapful number since it is divisible by the number (10) 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 115720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142560).

115720 is an abundant number, since it is smaller than the sum of its proper divisors (169400).

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

115720 is a wasteful number, since it uses less digits than its factorization.

115720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 115720 is about 340.1764248151. The cubic root of 115720 is about 48.7307177742.

Subtracting from 115720 its reverse (27511), we obtain a square (88209 = 297²).

The spelling of 115720 in words is "one hundred fifteen thousand, seven hundred twenty".