72730318662252 has 288 divisors, whose sum is σ = 205164031887360. Its totient is φ = 21606562897920.

The previous prime is 72730318662247. The next prime is 72730318662257. The reversal of 72730318662252 is 25226681303727.

72730318662252 is a `hidden beast` number, since 7 + 2 + 7 + 3 + 0 + 3 + 1 + 8 + 6 + 622 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (72730318662247) and next prime (72730318662257).

It is not an unprimeable number, because it can be changed into a prime (72730318662257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1366288477 + ... + 1366341707.

It is an arithmetic number, because the mean of its divisors is an integer number (712375110720).

Almost surely, 2^{72730318662252} 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 72730318662252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102582015943680).

72730318662252 is an abundant number, since it is smaller than the sum of its proper divisors (132433713225108).

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

72730318662252 is a wasteful number, since it uses less digits than its factorization.

72730318662252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54253 (or 54248 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

Adding to 72730318662252 its reverse (25226681303727), we get a palindrome (97956999965979).

The spelling of 72730318662252 in words is "seventy-two trillion, seven hundred thirty billion, three hundred eighteen million, six hundred sixty-two thousand, two hundred fifty-two".