116071200 has 432 divisors, whose sum is σ = 487468800. Its totient is φ = 25966080.

The previous prime is 116071187. The next prime is 116071201. The reversal of 116071200 is 2170611.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116071201) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 2469577 + ... + 2469623.

It is an arithmetic number, because the mean of its divisors is an integer number (1128400).

Almost surely, 2^116071200 is an apocalyptic number.

116071200 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 116071200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243734400).

116071200 is an abundant number, since it is smaller than the sum of its proper divisors (371397600).

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

116071200 is a wasteful number, since it uses less digits than its factorization.

116071200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 116071200 is about 10773.6344842398. The cubic root of 116071200 is about 487.7996579767.

The spelling of 116071200 in words is "one hundred sixteen million, seventy-one thousand, two hundred".