72812736000 has 640 divisors, whose sum is σ = 278449142400. Its totient is φ = 18734284800.

The previous prime is 72812735911. The next prime is 72812736053. The reversal of 72812736000 is 63721827.

72812736000 is a `hidden beast` number, since 7 + 28 + 1 + 27 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 50111274 + ... + 50112726.

It is an arithmetic number, because the mean of its divisors is an integer number (435076785).

Almost surely, 2^72812736000 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 72812736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139224571200).

72812736000 is an abundant number, since it is smaller than the sum of its proper divisors (205636406400).

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

72812736000 is a wasteful number, since it uses less digits than its factorization.

72812736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 72812736000 in words is "seventy-two billion, eight hundred twelve million, seven hundred thirty-six thousand".