72783702834560 has 256 divisors, whose sum is σ = 180706957516800. Its totient is φ = 28002778030080.

The previous prime is 72783702834551. The next prime is 72783702834589. The reversal of 72783702834560 is 6543820738727.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a junction number, because it is equal to n+sod(n) for n = 72783702834493 and 72783702834502.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4060901759 + ... + 4060919681.

It is an arithmetic number, because the mean of its divisors is an integer number (705886552800).

Almost surely, 2^{72783702834560} 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 72783702834560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90353478758400).

72783702834560 is an abundant number, since it is smaller than the sum of its proper divisors (107923254682240).

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

72783702834560 is a wasteful number, since it uses less digits than its factorization.

72783702834560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19209 (or 19197 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 62.

The spelling of 72783702834560 in words is "seventy-two trillion, seven hundred eighty-three billion, seven hundred two million, eight hundred thirty-four thousand, five hundred sixty".