114900672 has 56 divisors (see below), whose sum is σ = 305003200. Its totient is φ = 38174976.

The previous prime is 114900659. The next prime is 114900673. The reversal of 114900672 is 276009411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (114900673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71979 + ... + 73557.

Almost surely, 2^114900672 is an apocalyptic number.

114900672 is a gapful number since it is divisible by the number (12) 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 114900672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152501600).

114900672 is an abundant number, since it is smaller than the sum of its proper divisors (190102528).

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

114900672 is a wasteful number, since it uses less digits than its factorization.

114900672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1973 (or 1963 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 114900672 is about 10719.1731024366. The cubic root of 114900672 is about 486.1543650954.

The spelling of 114900672 in words is "one hundred fourteen million, nine hundred thousand, six hundred seventy-two".