72730749081952 has 192 divisors, whose sum is σ = 174840255959040. Its totient is φ = 29437385472000.

The previous prime is 72730749081941. The next prime is 72730749081953. The reversal of 72730749081952 is 25918094703727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72730749081953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 817299 + ... + 12088402.

It is an arithmetic number, because the mean of its divisors is an integer number (910626333120).

Almost surely, 2^{72730749081952} 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 72730749081952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87420127979520).

72730749081952 is an abundant number, since it is smaller than the sum of its proper divisors (102109506877088).

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

72730749081952 is a wasteful number, since it uses less digits than its factorization.

72730749081952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12905797 (or 12905789 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 64.

The spelling of 72730749081952 in words is "seventy-two trillion, seven hundred thirty billion, seven hundred forty-nine million, eighty-one thousand, nine hundred fifty-two".