114073120 has 96 divisors (see below), whose sum is σ = 310262400. Its totient is φ = 38823936.

The previous prime is 114073081. The next prime is 114073129. The reversal of 114073120 is 21370411.

It is not an unprimeable number, because it can be changed into a prime (114073129) 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, 200196 + ... + 200764.

It is an arithmetic number, because the mean of its divisors is an integer number (3231900).

Almost surely, 2^114073120 is an apocalyptic number.

114073120 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 114073120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155131200).

114073120 is an abundant number, since it is smaller than the sum of its proper divisors (196189280).

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

114073120 is a wasteful number, since it uses less digits than its factorization.

114073120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 114073120 is about 10680.5018608678. The cubic root of 114073120 is about 484.9844045008.

The spelling of 114073120 in words is "one hundred fourteen million, seventy-three thousand, one hundred twenty".