72794733193728 has 1080 divisors, whose sum is σ = 269784462431484. Its totient is φ = 18729082552320.

The previous prime is 72794733193661. The next prime is 72794733193729. The reversal of 72794733193728 is 82739133749727.

72794733193728 is a `hidden beast` number, since 7 + 2 + 79 + 473 + 3 + 19 + 3 + 72 + 8 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 33287272704 + 72761445921024 = 182448^2 + 8530032^2 .

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (72794733193729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4934225200 + ... + 4934239952.

Almost surely, 2^{72794733193728} is an apocalyptic number.

72794733193728 is a gapful number since it is divisible by the number (78) 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 72794733193728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134892231215742).

72794733193728 is an abundant number, since it is smaller than the sum of its proper divisors (196989729237756).

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

72794733193728 is a wasteful number, since it uses less digits than its factorization.

72794733193728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14886 (or 14819 counting only the distinct ones).

The product of its digits is 672126336, while the sum is 72.

The spelling of 72794733193728 in words is "seventy-two trillion, seven hundred ninety-four billion, seven hundred thirty-three million, one hundred ninety-three thousand, seven hundred twenty-eight".