72983317985280 has 576 divisors, whose sum is σ = 256541935104000. Its totient is φ = 19186628886528.

The previous prime is 72983317985261. The next prime is 72983317985297. The reversal of 72983317985280 is 8258971338927.

72983317985280 is a `hidden beast` number, since 7 + 2 + 9 + 8 + 3 + 3 + 1 + 7 + 98 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 72983317985199 and 72983317985208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3663995161 + ... + 3664015079.

It is an arithmetic number, because the mean of its divisors is an integer number (445385304000).

Almost surely, 2^{72983317985280} 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 72983317985280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128270967552000).

72983317985280 is an abundant number, since it is smaller than the sum of its proper divisors (183558617118720).

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

72983317985280 is a wasteful number, since it uses less digits than its factorization.

72983317985280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20514 (or 20491 counting only the distinct ones).

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

The spelling of 72983317985280 in words is "seventy-two trillion, nine hundred eighty-three billion, three hundred seventeen million, nine hundred eighty-five thousand, two hundred eighty".