114757872 has 80 divisors (see below), whose sum is σ = 322896000. Its totient is φ = 34981632.

The previous prime is 114757861. The next prime is 114757873. The reversal of 114757872 is 278757411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114757873) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 24279 + ... + 28617.

It is an arithmetic number, because the mean of its divisors is an integer number (4036200).

Almost surely, 2^114757872 is an apocalyptic number.

114757872 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 114757872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161448000).

114757872 is an abundant number, since it is smaller than the sum of its proper divisors (208138128).

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

114757872 is a wasteful number, since it uses less digits than its factorization.

114757872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4398 (or 4392 counting only the distinct ones).

The product of its digits is 109760, while the sum is 42.

The square root of 114757872 is about 10712.5100700069. The cubic root of 114757872 is about 485.9528820177.

The spelling of 114757872 in words is "one hundred fourteen million, seven hundred fifty-seven thousand, eight hundred seventy-two".