72840035738880 has 1440 divisors, whose sum is σ = 295979160153600. Its totient is φ = 16992048513024.

The previous prime is 72840035738849. The next prime is 72840035738891. The reversal of 72840035738880 is 8883753004827.

72840035738880 is a `hidden beast` number, since 7 + 2 + 8 + 400 + 3 + 5 + 73 + 88 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 1774877401 + ... + 1774918439.

It is an arithmetic number, because the mean of its divisors is an integer number (205541083440).

Almost surely, 2^{72840035738880} 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 72840035738880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147989580076800).

72840035738880 is an abundant number, since it is smaller than the sum of its proper divisors (223139124414720).

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

72840035738880 is a wasteful number, since it uses less digits than its factorization.

72840035738880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41161 (or 41138 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 72840035738880 in words is "seventy-two trillion, eight hundred forty billion, thirty-five million, seven hundred thirty-eight thousand, eight hundred eighty".