114885672 has 96 divisors (see below), whose sum is σ = 321757920. Its totient is φ = 33900160.

The previous prime is 114885623. The next prime is 114885697. The reversal of 114885672 is 276588411.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 583078 + ... + 583274.

It is an arithmetic number, because the mean of its divisors is an integer number (3351645).

Almost surely, 2^114885672 is an apocalyptic number.

114885672 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 114885672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160878960).

114885672 is an abundant number, since it is smaller than the sum of its proper divisors (206872248).

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

114885672 is a wasteful number, since it uses less digits than its factorization.

114885672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 260 counting only the distinct ones).

The product of its digits is 107520, while the sum is 42.

The square root of 114885672 is about 10718.4733987635. The cubic root of 114885672 is about 486.1332087561.

The spelling of 114885672 in words is "one hundred fourteen million, eight hundred eighty-five thousand, six hundred seventy-two".