114444720 has 120 divisors (see below), whose sum is σ = 413942256. Its totient is φ = 28168704.

The previous prime is 114444703. The next prime is 114444721. The reversal of 114444720 is 27444411.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (114444721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3247 + ... + 15473.

Almost surely, 2^114444720 is an apocalyptic number.

114444720 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 114444720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206971128).

114444720 is an abundant number, since it is smaller than the sum of its proper divisors (299497536).

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

114444720 is a wasteful number, since it uses less digits than its factorization.

114444720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12259 (or 12250 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 114444720 is about 10697.8839029034. The cubic root of 114444720 is about 485.5104555852.

The spelling of 114444720 in words is "one hundred fourteen million, four hundred forty-four thousand, seven hundred twenty".