116072320 has 128 divisors (see below), whose sum is σ = 341691840. Its totient is φ = 36716544.

The previous prime is 116072317. The next prime is 116072321. The reversal of 116072320 is 23270611.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 116072291 and 116072300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116072321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57244 + ... + 59236.

Almost surely, 2^116072320 is an apocalyptic number.

116072320 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 116072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170845920).

116072320 is an abundant number, since it is smaller than the sum of its proper divisors (225619520).

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

116072320 is a wasteful number, since it uses less digits than its factorization.

116072320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 116072320 is about 10773.6864628594. The cubic root of 116072320 is about 487.8012269385.

The spelling of 116072320 in words is "one hundred sixteen million, seventy-two thousand, three hundred twenty".