114372720 has 240 divisors, whose sum is σ = 479112192. Its totient is φ = 23754240.

The previous prime is 114372707. The next prime is 114372737. The reversal of 114372720 is 27273411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×114372720² = 26162238160396800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54409 + ... + 56471.

Almost surely, 2^114372720 is an apocalyptic number.

114372720 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 114372720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239556096).

114372720 is an abundant number, since it is smaller than the sum of its proper divisors (364739472).

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

114372720 is a wasteful number, since it uses less digits than its factorization.

114372720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 114372720 is about 10694.5182219677. The cubic root of 114372720 is about 485.4086186864.

The spelling of 114372720 in words is "one hundred fourteen million, three hundred seventy-two thousand, seven hundred twenty".