72794667204480 has 1024 divisors, whose sum is σ = 271266444288000. Its totient is φ = 16452386979840.

The previous prime is 72794667204451. The next prime is 72794667204517. The reversal of 72794667204480 is 8440276649727.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1986573039 + ... + 1986609681.

It is an arithmetic number, because the mean of its divisors is an integer number (264908637000).

Almost surely, 2^{72794667204480} 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 72794667204480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135633222144000).

72794667204480 is an abundant number, since it is smaller than the sum of its proper divisors (198471777083520).

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

72794667204480 is a wasteful number, since it uses less digits than its factorization.

72794667204480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36827 (or 36815 counting only the distinct ones).

The product of its (nonzero) digits is 227598336, while the sum is 66.

The spelling of 72794667204480 in words is "seventy-two trillion, seven hundred ninety-four billion, six hundred sixty-seven million, two hundred four thousand, four hundred eighty".