72845546988288 has 288 divisors, whose sum is σ = 198146995200000. Its totient is φ = 23754336256000.

The previous prime is 72845546988259. The next prime is 72845546988293. The reversal of 72845546988288 is 88288964554827.

It is a self number, because there is not a number n which added to its sum of digits gives 72845546988288.

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, 2207491213 + ... + 2207524211.

It is an arithmetic number, because the mean of its divisors is an integer number (688010400000).

Almost surely, 2^{72845546988288} 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 72845546988288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99073497600000).

72845546988288 is an abundant number, since it is smaller than the sum of its proper divisors (125301448211712).

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

72845546988288 is a wasteful number, since it uses less digits than its factorization.

72845546988288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33459 (or 33445 counting only the distinct ones).

The product of its digits is 19818086400, while the sum is 84.

The spelling of 72845546988288 in words is "seventy-two trillion, eight hundred forty-five billion, five hundred forty-six million, nine hundred eighty-eight thousand, two hundred eighty-eight".