72544690753 has 2 divisors, whose sum is σ = 72544690754. Its totient is φ = 72544690752.

The previous prime is 72544690739. The next prime is 72544690783. The reversal of 72544690753 is 35709644527.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50576411664 + 21968279089 = 224892^2 + 148217^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72544690753 is a prime.

It is a super-3 number, since 3×72544690753³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72544690753.

It is not a weakly prime, because it can be changed into another prime (72544690783) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36272345376 + 36272345377.

It is an arithmetic number, because the mean of its divisors is an integer number (36272345377).

Almost surely, 2^72544690753 is an apocalyptic number.

It is an amenable number.

72544690753 is a deficient number, since it is larger than the sum of its proper divisors (1).

72544690753 is an equidigital number, since it uses as much as digits as its factorization.

72544690753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6350400, while the sum is 52.

The spelling of 72544690753 in words is "seventy-two billion, five hundred forty-four million, six hundred ninety thousand, seven hundred fifty-three".