72983317985208 has 256 divisors, whose sum is σ = 210436625203200. Its totient is φ = 23411973888000.

The previous prime is 72983317985167. The next prime is 72983317985231. The reversal of 72983317985208 is 80258971338927.

72983317985208 is a `hidden beast` number, since 7 + 2 + 9 + 8 + 3 + 3 + 1 + 7 + 98 + 520 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4810070710 + ... + 4810085882.

It is an arithmetic number, because the mean of its divisors is an integer number (822018067200).

Almost surely, 2^{72983317985208} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72983317985208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105218312601600).

72983317985208 is an abundant number, since it is smaller than the sum of its proper divisors (137453307217992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72983317985208 is a wasteful number, since it uses less digits than its factorization.

72983317985208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19171 (or 19161 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 72983317985208 in words is "seventy-two trillion, nine hundred eighty-three billion, three hundred seventeen million, nine hundred eighty-five thousand, two hundred eight".