114072363 has 24 divisors (see below), whose sum is σ = 176937696. Its totient is φ = 70560000.

The previous prime is 114072359. The next prime is 114072367. The reversal of 114072363 is 363270411.

It is an interprime number because it is at equal distance from previous prime (114072359) and next prime (114072367).

It is not a de Polignac number, because 114072363 - 2² = 114072359 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114072367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5613 + ... + 16113.

It is an arithmetic number, because the mean of its divisors is an integer number (7372404).

Almost surely, 2^114072363 is an apocalyptic number.

114072363 is a deficient number, since it is larger than the sum of its proper divisors (62865333).

114072363 is a wasteful number, since it uses less digits than its factorization.

114072363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10595 (or 10592 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 114072363 is about 10680.4664223994. The cubic root of 114072363 is about 484.9833316977.

The spelling of 114072363 in words is "one hundred fourteen million, seventy-two thousand, three hundred sixty-three".