114040872 has 96 divisors (see below), whose sum is σ = 349483680. Its totient is φ = 34551360.

The previous prime is 114040853. The next prime is 114040891. The reversal of 114040872 is 278040411.

It is an interprime number because it is at equal distance from previous prime (114040853) and next prime (114040891).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 18718 + ... + 24050.

It is an arithmetic number, because the mean of its divisors is an integer number (3640455).

Almost surely, 2^114040872 is an apocalyptic number.

114040872 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 114040872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174741840).

114040872 is an abundant number, since it is smaller than the sum of its proper divisors (235442808).

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

114040872 is a wasteful number, since it uses less digits than its factorization.

114040872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5365 (or 5349 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 114040872 is about 10678.9920872712. The cubic root of 114040872 is about 484.9386991641.

The spelling of 114040872 in words is "one hundred fourteen million, forty thousand, eight hundred seventy-two".