72245816689872 has 320 divisors, whose sum is σ = 216370151424000. Its totient is φ = 20345505744384.

The previous prime is 72245816689819. The next prime is 72245816689883. The reversal of 72245816689872 is 27898661854227.

72245816689872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (75) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 72245816689794 and 72245816689803.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 32267000529 + ... + 32267002767.

It is an arithmetic number, because the mean of its divisors is an integer number (676156723200).

Almost surely, 2^{72245816689872} 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 72245816689872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108185075712000).

72245816689872 is an abundant number, since it is smaller than the sum of its proper divisors (144124334734128).

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

72245816689872 is a wasteful number, since it uses less digits than its factorization.

72245816689872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4518 (or 4512 counting only the distinct ones).

The product of its digits is 1300561920, while the sum is 75.

The spelling of 72245816689872 in words is "seventy-two trillion, two hundred forty-five billion, eight hundred sixteen million, six hundred eighty-nine thousand, eight hundred seventy-two".