116072760 has 64 divisors (see below), whose sum is σ = 351636480. Its totient is φ = 30648960.

The previous prime is 116072731. The next prime is 116072771. The reversal of 116072760 is 67270611.

It is a happy number.

It is a super-2 number, since 2×116072760² = 26945771228035200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 7665 + ... + 17055.

It is an arithmetic number, because the mean of its divisors is an integer number (5494320).

Almost surely, 2^116072760 is an apocalyptic number.

116072760 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 116072760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175818240).

116072760 is an abundant number, since it is smaller than the sum of its proper divisors (235563720).

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

116072760 is a wasteful number, since it uses less digits than its factorization.

116072760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9508 (or 9504 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 116072760 is about 10773.7068829628. The cubic root of 116072760 is about 487.8018433136.

It can be divided in two parts, 1160 and 72760, that added together give a triangular number (73920 = T₃₈₄).

The spelling of 116072760 in words is "one hundred sixteen million, seventy-two thousand, seven hundred sixty".