114072584 has 16 divisors (see below), whose sum is σ = 226467900. Its totient is φ = 53681152.

The previous prime is 114072527. The next prime is 114072641. The reversal of 114072584 is 485270411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114072527) and next prime (114072641).

It can be written as a sum of positive squares in 2 ways, for example, as 114019684 + 52900 = 10678^2 + 230^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 114072584.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 419249 + ... + 419520.

Almost surely, 2^114072584 is an apocalyptic number.

It is an amenable number.

114072584 is a deficient number, since it is larger than the sum of its proper divisors (112395316).

114072584 is a wasteful number, since it uses less digits than its factorization.

114072584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838792 (or 838788 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 114072584 is about 10680.4767683845. The cubic root of 114072584 is about 484.9836448943.

The spelling of 114072584 in words is "one hundred fourteen million, seventy-two thousand, five hundred eighty-four".