72983583 has 12 divisors (see below), whose sum is σ = 105975168. Its totient is φ = 48399840.

The previous prime is 72983563. The next prime is 72983587. The reversal of 72983583 is 38538927.

72983583 is a `hidden beast` number, since 7 + 298 + 358 + 3 = 666.

It is not a de Polignac number, because 72983583 - 2⁸ = 72983327 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72983587) 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 11 ways as a sum of consecutive naturals, for example, 19510 + ... + 22947.

It is an arithmetic number, because the mean of its divisors is an integer number (8831264).

Almost surely, 2^72983583 is an apocalyptic number.

72983583 is a deficient number, since it is larger than the sum of its proper divisors (32991585).

72983583 is a wasteful number, since it uses less digits than its factorization.

72983583 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42654 (or 42651 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 72983583 is about 8543.0429590398. The cubic root of 72983583 is about 417.9025875123.

The spelling of 72983583 in words is "seventy-two million, nine hundred eighty-three thousand, five hundred eighty-three".