116055072 has 192 divisors, whose sum is σ = 399974400. Its totient is φ = 32037120.

The previous prime is 116055067. The next prime is 116055083. The reversal of 116055072 is 270550611.

116055072 is a `hidden beast` number, since 1 + 1 + 605 + 50 + 7 + 2 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 187179 + ... + 187797.

It is an arithmetic number, because the mean of its divisors is an integer number (2083200).

Almost surely, 2^116055072 is an apocalyptic number.

116055072 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 116055072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199987200).

116055072 is an abundant number, since it is smaller than the sum of its proper divisors (283919328).

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

116055072 is a wasteful number, since it uses less digits than its factorization.

116055072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 116055072 is about 10772.8859643087. The cubic root of 116055072 is about 487.7770638066. Note that the first 3 decimals are identical.

The spelling of 116055072 in words is "one hundred sixteen million, fifty-five thousand, seventy-two".