116757792 has 72 divisors (see below), whose sum is σ = 341034876. Its totient is φ = 37863936.

The previous prime is 116757743. The next prime is 116757827. The reversal of 116757792 is 297757611.

116757792 is a `hidden beast` number, since 11 + 67 + 577 + 9 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 107246736 + 9511056 = 10356^2 + 3084^2 .

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5178 + ... + 16134.

Almost surely, 2^116757792 is an apocalyptic number.

116757792 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 116757792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170517438).

116757792 is an abundant number, since it is smaller than the sum of its proper divisors (224277084).

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

116757792 is a wasteful number, since it uses less digits than its factorization.

116757792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11010 (or 10999 counting only the distinct ones).

The product of its digits is 185220, while the sum is 45.

The square root of 116757792 is about 10805.4519572297. The cubic root of 116757792 is about 488.7595892529.

The spelling of 116757792 in words is "one hundred sixteen million, seven hundred fifty-seven thousand, seven hundred ninety-two".