114720000 has 180 divisors, whose sum is σ = 383127360. Its totient is φ = 30464000.

The previous prime is 114719987. The next prime is 114720019. The reversal of 114720000 is 27411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 479881 + ... + 480119.

Almost surely, 2^114720000 is an apocalyptic number.

114720000 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 114720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191563680).

114720000 is an abundant number, since it is smaller than the sum of its proper divisors (268407360).

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

114720000 is an frugal number, since it uses more digits than its factorization.

114720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 114720000 is about 10710.7422711967. The cubic root of 114720000 is about 485.8994186340.

Adding to 114720000 its reverse (27411), we get a palindrome (114747411).

The spelling of 114720000 in words is "one hundred fourteen million, seven hundred twenty thousand".