72524216200561 has 2 divisors, whose sum is σ = 72524216200562. Its totient is φ = 72524216200560.

The previous prime is 72524216200543. The next prime is 72524216200603. The reversal of 72524216200561 is 16500261242527.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71959914760561 + 564301440000 = 8482919^2 + 751200^2 .

It is an emirp because it is prime and its reverse (16500261242527) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72524216200561 - 2⁷ = 72524216200433 is a prime.

It is a super-2 number, since 2×72524216200561² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72524216200511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36262108100280 + 36262108100281.

It is an arithmetic number, because the mean of its divisors is an integer number (36262108100281).

Almost surely, 2^{72524216200561} is an apocalyptic number.

It is an amenable number.

72524216200561 is a deficient number, since it is larger than the sum of its proper divisors (1).

72524216200561 is an equidigital number, since it uses as much as digits as its factorization.

72524216200561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 403200, while the sum is 43.

The spelling of 72524216200561 in words is "seventy-two trillion, five hundred twenty-four billion, two hundred sixteen million, two hundred thousand, five hundred sixty-one".