115776 has 56 divisors (see below), whose sum is σ = 345440. Its totient is φ = 38016.

The previous prime is 115771. The next prime is 115777. The reversal of 115776 is 677511.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (115771) by changing a digit.

115776 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 1695 + ... + 1761.

2¹¹⁵⁷⁷⁶ is an apocalyptic number.

115776 is a gapful number since it is divisible by the number (16) 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 115776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172720).

115776 is an abundant number, since it is smaller than the sum of its proper divisors (229664).

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

115776 is an equidigital number, since it uses as much as digits as its factorization.

115776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 72 counting only the distinct ones).

The product of its digits is 1470, while the sum is 27.

The square root of 115776 is about 340.2587250902. The cubic root of 115776 is about 48.7385772053.

It can be divided in two parts, 11 and 5776, that multiplied together give a palindrome (63536).

The spelling of 115776 in words is "one hundred fifteen thousand, seven hundred seventy-six".