114073920 has 224 divisors, whose sum is σ = 409895040. Its totient is φ = 30233088.

The previous prime is 114073919. The next prime is 114073937. The reversal of 114073920 is 29370411.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 699759 + ... + 699921.

Almost surely, 2^114073920 is an apocalyptic number.

114073920 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 114073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204947520).

114073920 is an abundant number, since it is smaller than the sum of its proper divisors (295821120).

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

114073920 is an frugal number, since it uses more digits than its factorization.

114073920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 114073920 is about 10680.5393122258. The cubic root of 114073920 is about 484.9855382374.

The spelling of 114073920 in words is "one hundred fourteen million, seventy-three thousand, nine hundred twenty".