72983317985199 has 24 divisors (see below), whose sum is σ = 105479378069520. Its totient is φ = 48628302936192.

The previous prime is 72983317985167. The next prime is 72983317985231. The reversal of 72983317985199 is 99158971338927.

72983317985199 is a `hidden beast` number, since 7 + 2 + 9 + 8 + 3 + 3 + 1 + 7 + 98 + 519 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (72983317985167) and next prime (72983317985231).

It is not a de Polignac number, because 72983317985199 - 2⁵ = 72983317985167 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72983317995199) 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 23 ways as a sum of consecutive naturals, for example, 483613347 + ... + 483764235.

It is an arithmetic number, because the mean of its divisors is an integer number (4394974086230).

Almost surely, 2^{72983317985199} is an apocalyptic number.

72983317985199 is a deficient number, since it is larger than the sum of its proper divisors (32496060084321).

72983317985199 is a wasteful number, since it uses less digits than its factorization.

72983317985199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180631 (or 180628 counting only the distinct ones).

The product of its digits is 1851776640, while the sum is 81.

The spelling of 72983317985199 in words is "seventy-two trillion, nine hundred eighty-three billion, three hundred seventeen million, nine hundred eighty-five thousand, one hundred ninety-nine".