72980584803 has 48 divisors (see below), whose sum is σ = 124561395712. Its totient is φ = 40293288000.

The previous prime is 72980584777. The next prime is 72980584813. The reversal of 72980584803 is 30848508927.

It is a happy number.

72980584803 is a `hidden beast` number, since 72 + 98 + 0 + 5 + 8 + 480 + 3 = 666.

It is not a de Polignac number, because 72980584803 - 2¹⁰ = 72980583779 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72980584803.

It is not an unprimeable number, because it can be changed into a prime (72980584813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1202733 + ... + 1261953.

Almost surely, 2^72980584803 is an apocalyptic number.

72980584803 is a deficient number, since it is larger than the sum of its proper divisors (51580810909).

72980584803 is a wasteful number, since it uses less digits than its factorization.

72980584803 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59896 (or 59893 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 72980584803 in words is "seventy-two billion, nine hundred eighty million, five hundred eighty-four thousand, eight hundred three".