72822576961 has 2 divisors, whose sum is σ = 72822576962. Its totient is φ = 72822576960.

The previous prime is 72822576901. The next prime is 72822577001. The reversal of 72822576961 is 16967522827.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 44318670400 + 28503906561 = 210520^2 + 168831^2 .

It is a cyclic number.

It is not a de Polignac number, because 72822576961 - 2¹⁹ = 72822052673 is a prime.

It is not a weakly prime, because it can be changed into another prime (72822576901) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36411288480 + 36411288481.

It is an arithmetic number, because the mean of its divisors is an integer number (36411288481).

Almost surely, 2^72822576961 is an apocalyptic number.

It is an amenable number.

72822576961 is a deficient number, since it is larger than the sum of its proper divisors (1).

72822576961 is an equidigital number, since it uses as much as digits as its factorization.

72822576961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5080320, while the sum is 55.

The spelling of 72822576961 in words is "seventy-two billion, eight hundred twenty-two million, five hundred seventy-six thousand, nine hundred sixty-one".