72741122371573 has 16 divisors (see below), whose sum is σ = 79695438565680. Its totient is φ = 66085235163136.

The previous prime is 72741122371571. The next prime is 72741122371627. The reversal of 72741122371573 is 37517322114727.

It can be written as a sum of positive squares in 8 ways, for example, as 300606244 + 72740821765329 = 17338^2 + 8528823^2 .

It is a cyclic number.

It is not a de Polignac number, because 72741122371573 - 2¹ = 72741122371571 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72741122371573.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72741122371571) 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 15 ways as a sum of consecutive naturals, for example, 16104940 + ... + 20120917.

It is an arithmetic number, because the mean of its divisors is an integer number (4980964910355).

Almost surely, 2^{72741122371573} is an apocalyptic number.

It is an amenable number.

72741122371573 is a deficient number, since it is larger than the sum of its proper divisors (6954316194107).

72741122371573 is a wasteful number, since it uses less digits than its factorization.

72741122371573 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36229976.

The product of its digits is 3457440, while the sum is 52.

The spelling of 72741122371573 in words is "seventy-two trillion, seven hundred forty-one billion, one hundred twenty-two million, three hundred seventy-one thousand, five hundred seventy-three".