72841361796000 has 1728 divisors, whose sum is σ = 335170823944320. Its totient is φ = 14845217587200.

The previous prime is 72841361795999. The next prime is 72841361796061. The reversal of 72841361796000 is 69716314827.

72841361796000 is a `hidden beast` number, since 7 + 2 + 8 + 4 + 13 + 6 + 17 + 9 + 600 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 569708079 + ... + 569835921.

It is an arithmetic number, because the mean of its divisors is an integer number (193964597190).

Almost surely, 2^{72841361796000} is an apocalyptic number.

72841361796000 is a gapful number since it is divisible by the number (70) 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 72841361796000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167585411972160).

72841361796000 is an abundant number, since it is smaller than the sum of its proper divisors (262329462148320).

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

72841361796000 is a wasteful number, since it uses less digits than its factorization.

72841361796000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127924 (or 127896 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 72841361796000 in words is "seventy-two trillion, eight hundred forty-one billion, three hundred sixty-one million, seven hundred ninety-six thousand".