72666043584000 has 640 divisors, whose sum is σ = 256000089945600. Its totient is φ = 18224057548800.

The previous prime is 72666043583941. The next prime is 72666043584011. The reversal of 72666043584000 is 48534066627.

It is a happy number.

72666043584000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4762168371 + ... + 4762183629.

It is an arithmetic number, because the mean of its divisors is an integer number (400000140540).

Almost surely, 2^{72666043584000} 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 72666043584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128000044972800).

72666043584000 is an abundant number, since it is smaller than the sum of its proper divisors (183334046361600).

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

72666043584000 is a wasteful number, since it uses less digits than its factorization.

72666043584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16771 (or 16745 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 51.

The spelling of 72666043584000 in words is "seventy-two trillion, six hundred sixty-six billion, forty-three million, five hundred eighty-four thousand".