114838672 has 80 divisors (see below), whose sum is σ = 259483392. Its totient is φ = 48752640.

The previous prime is 114838643. The next prime is 114838697. The reversal of 114838672 is 276838411.

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 15 ways as a sum of consecutive naturals, for example, 165847 + ... + 166537.

Almost surely, 2^114838672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114838672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129741696).

114838672 is an abundant number, since it is smaller than the sum of its proper divisors (144644720).

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

114838672 is a wasteful number, since it uses less digits than its factorization.

114838672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 770 counting only the distinct ones).

The product of its digits is 64512, while the sum is 40.

The square root of 114838672 is about 10716.2806980780. The cubic root of 114838672 is about 486.0669069655.

The spelling of 114838672 in words is "one hundred fourteen million, eight hundred thirty-eight thousand, six hundred seventy-two".