114072392 has 48 divisors (see below), whose sum is σ = 249772860. Its totient is φ = 48698496.

The previous prime is 114072389. The next prime is 114072403. The reversal of 114072392 is 293270411.

It can be written as a sum of positive squares in 2 ways, for example, as 96314596 + 17757796 = 9814^2 + 4214^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 155258 + ... + 155990.

Almost surely, 2^114072392 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 114072392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124886430).

114072392 is an abundant number, since it is smaller than the sum of its proper divisors (135700468).

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

114072392 is a wasteful number, since it uses less digits than its factorization.

114072392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 114072392 is about 10680.4677800179. The cubic root of 114072392 is about 484.9833727959.

The spelling of 114072392 in words is "one hundred fourteen million, seventy-two thousand, three hundred ninety-two".