116072880 has 240 divisors, whose sum is σ = 452804352. Its totient is φ = 24076800.

The previous prime is 116072861. The next prime is 116072903. The reversal of 116072880 is 88270611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

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 47 ways as a sum of consecutive naturals, for example, 202995 + ... + 203565.

Almost surely, 2^116072880 is an apocalyptic number.

116072880 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 116072880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226402176).

116072880 is an abundant number, since it is smaller than the sum of its proper divisors (336731472).

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

116072880 is a wasteful number, since it uses less digits than its factorization.

116072880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 116072880 is about 10773.7124520752. The cubic root of 116072880 is about 487.8020114157.

The spelling of 116072880 in words is "one hundred sixteen million, seventy-two thousand, eight hundred eighty".