72273646960968 has 128 divisors (see below), whose sum is σ = 198028642406400. Its totient is φ = 21879050059776.

The previous prime is 72273646960943. The next prime is 72273646960969. The reversal of 72273646960968 is 86906964637227.

It is a self number, because there is not a number n which added to its sum of digits gives 72273646960968.

It is not an unprimeable number, because it can be changed into a prime (72273646960969) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 17840080 + ... + 21513152.

It is an arithmetic number, because the mean of its divisors is an integer number (1547098768800).

Almost surely, 2^{72273646960968} 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 72273646960968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99014321203200).

72273646960968 is an abundant number, since it is smaller than the sum of its proper divisors (125754995445432).

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

72273646960968 is a wasteful number, since it uses less digits than its factorization.

72273646960968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3674791 (or 3674787 counting only the distinct ones).

The product of its (nonzero) digits is 1975228416, while the sum is 75.

The spelling of 72273646960968 in words is "seventy-two trillion, two hundred seventy-three billion, six hundred forty-six million, nine hundred sixty thousand, nine hundred sixty-eight".