114759972 has 36 divisors (see below), whose sum is σ = 302702400. Its totient is φ = 36589872.

The previous prime is 114759901. The next prime is 114760001. The reversal of 114759972 is 279957411.

114759972 is a `hidden beast` number, since 11 + 47 + 599 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 68472 + ... + 70127.

It is an arithmetic number, because the mean of its divisors is an integer number (8408400).

Almost surely, 2^114759972 is an apocalyptic number.

114759972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114759972 is an abundant number, since it is smaller than the sum of its proper divisors (187942428).

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

114759972 is a wasteful number, since it uses less digits than its factorization.

114759972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138632 (or 138627 counting only the distinct ones).

The product of its digits is 158760, while the sum is 45.

The square root of 114759972 is about 10712.6080858024. The cubic root of 114759972 is about 485.9558462148.

The spelling of 114759972 in words is "one hundred fourteen million, seven hundred fifty-nine thousand, nine hundred seventy-two".