72554561036261 has 2 divisors, whose sum is σ = 72554561036262. Its totient is φ = 72554561036260.

The previous prime is 72554561036239. The next prime is 72554561036263. The reversal of 72554561036261 is 16263016545527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55668296732161 + 16886264304100 = 7461119^2 + 4109290^2 .

It is an emirp because it is prime and its reverse (16263016545527) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72554561036261 - 2²⁶ = 72554493927397 is a prime.

Together with 72554561036263, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72554561036263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36277280518130 + 36277280518131.

It is an arithmetic number, because the mean of its divisors is an integer number (36277280518131).

Almost surely, 2^{72554561036261} is an apocalyptic number.

It is an amenable number.

72554561036261 is a deficient number, since it is larger than the sum of its proper divisors (1).

72554561036261 is an equidigital number, since it uses as much as digits as its factorization.

72554561036261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072000, while the sum is 53.

The spelling of 72554561036261 in words is "seventy-two trillion, five hundred fifty-four billion, five hundred sixty-one million, thirty-six thousand, two hundred sixty-one".