72771393088000 has 320 divisors, whose sum is σ = 182176566837408. Its totient is φ = 28993860403200.

The previous prime is 72771393087989. The next prime is 72771393088019. The reversal of 72771393088000 is 88039317727.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 7978681518336 + 64792711569664 = 2824656^2 + 8049392^2 .

It is a tau number, because it is divible by the number of its divisors (320).

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, 19683902152 + ... + 19683905848.

Almost surely, 2^{72771393088000} 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 72771393088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91088283418704).

72771393088000 is an abundant number, since it is smaller than the sum of its proper divisors (109405173749408).

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

72771393088000 is an equidigital number, since it uses as much as digits as its factorization.

72771393088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4860 (or 4834 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 55.

The spelling of 72771393088000 in words is "seventy-two trillion, seven hundred seventy-one billion, three hundred ninety-three million, eighty-eight thousand".