72234505728 has 640 divisors, whose sum is σ = 270268416000. Its totient is φ = 18503147520.

The previous prime is 72234505723. The next prime is 72234505781. The reversal of 72234505728 is 82750543227.

72234505728 is a `hidden beast` number, since 7 + 2 + 23 + 4 + 50 + 572 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72234505723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84090963 + ... + 84091821.

It is an arithmetic number, because the mean of its divisors is an integer number (422294400).

Almost surely, 2^72234505728 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 72234505728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135134208000).

72234505728 is an abundant number, since it is smaller than the sum of its proper divisors (198033910272).

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

72234505728 is a wasteful number, since it uses less digits than its factorization.

72234505728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 72234505728 in words is "seventy-two billion, two hundred thirty-four million, five hundred five thousand, seven hundred twenty-eight".