72803419425792 has 1320 divisors, whose sum is σ = 250895866326336. Its totient is φ = 20842665984000.

The previous prime is 72803419425767. The next prime is 72803419425799. The reversal of 72803419425792 is 29752491430827.

72803419425792 is a `hidden beast` number, since 7 + 2 + 8 + 0 + 3 + 4 + 19 + 42 + 579 + 2 = 666.

It is a super-3 number, since 3×72803419425792³ (a number of 43 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (72803419425799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 37702443067 + ... + 37702444997.

Almost surely, 2^{72803419425792} is an apocalyptic number.

72803419425792 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72803419425792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125447933163168).

72803419425792 is an abundant number, since it is smaller than the sum of its proper divisors (178092446900544).

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

72803419425792 is a wasteful number, since it uses less digits than its factorization.

72803419425792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 72803419425792 in words is "seventy-two trillion, eight hundred three billion, four hundred nineteen million, four hundred twenty-five thousand, seven hundred ninety-two".