72046427788800 has 480 divisors, whose sum is σ = 264857497618560. Its totient is φ = 19182442291200.

The previous prime is 72046427788787. The next prime is 72046427788801. The reversal of 72046427788800 is 888772464027.

72046427788800 is a `hidden beast` number, since 7 + 2 + 0 + 464 + 27 + 78 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72046427788801) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 222058695 + ... + 222382905.

It is an arithmetic number, because the mean of its divisors is an integer number (551786453372).

Almost surely, 2^{72046427788800} 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 72046427788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132428748809280).

72046427788800 is an abundant number, since it is smaller than the sum of its proper divisors (192811069829760).

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

72046427788800 is a wasteful number, since it uses less digits than its factorization.

72046427788800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324891 (or 324864 counting only the distinct ones).

The product of its (nonzero) digits is 67436544, while the sum is 63.

The spelling of 72046427788800 in words is "seventy-two trillion, forty-six billion, four hundred twenty-seven million, seven hundred eighty-eight thousand, eight hundred".