72566784000 has 720 divisors, whose sum is σ = 272185245696. Its totient is φ = 18579456000.

The previous prime is 72566783987. The next prime is 72566784109. The reversal of 72566784000 is 48766527.

72566784000 is a `hidden beast` number, since 7 + 2 + 566 + 7 + 84 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 571391937 + ... + 571392063.

Almost surely, 2^72566784000 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 72566784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136092622848).

72566784000 is an abundant number, since it is smaller than the sum of its proper divisors (199618461696).

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

72566784000 is a wasteful number, since it uses less digits than its factorization.

72566784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 72566784000 in words is "seventy-two billion, five hundred sixty-six million, seven hundred eighty-four thousand".