72201560266601 has 2 divisors, whose sum is σ = 72201560266602. Its totient is φ = 72201560266600.

The previous prime is 72201560266523. The next prime is 72201560266631. The reversal of 72201560266601 is 10666206510227.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42342155197225 + 29859405069376 = 6507085^2 + 5464376^2 .

It is an emirp because it is prime and its reverse (10666206510227) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72201560266601 - 2²² = 72201556072297 is a prime.

It is a super-3 number, since 3×72201560266601³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (72201560266631) 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 as a sum of consecutive naturals, namely, 36100780133300 + 36100780133301.

It is an arithmetic number, because the mean of its divisors is an integer number (36100780133301).

Almost surely, 2^{72201560266601} is an apocalyptic number.

It is an amenable number.

72201560266601 is a deficient number, since it is larger than the sum of its proper divisors (1).

72201560266601 is an equidigital number, since it uses as much as digits as its factorization.

72201560266601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 362880, while the sum is 44.

Adding to 72201560266601 its reverse (10666206510227), we get a palindrome (82867766776828).

The spelling of 72201560266601 in words is "seventy-two trillion, two hundred one billion, five hundred sixty million, two hundred sixty-six thousand, six hundred one".