114811872 has 48 divisors (see below), whose sum is σ = 344437632. Its totient is φ = 32803200.

The previous prime is 114811859. The next prime is 114811877. The reversal of 114811872 is 278118411.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114811877) 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, 84754 + ... + 86097.

It is an arithmetic number, because the mean of its divisors is an integer number (7175784).

Almost surely, 2^114811872 is an apocalyptic number.

114811872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114811872 is an abundant number, since it is smaller than the sum of its proper divisors (229625760).

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

114811872 is a wasteful number, since it uses less digits than its factorization.

114811872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170871 (or 170863 counting only the distinct ones).

The product of its digits is 3584, while the sum is 33.

The square root of 114811872 is about 10715.0301912780. The cubic root of 114811872 is about 486.0290927393.

The spelling of 114811872 in words is "one hundred fourteen million, eight hundred eleven thousand, eight hundred seventy-two".