73527333722441 has 2 divisors, whose sum is σ = 73527333722442. Its totient is φ = 73527333722440.

The previous prime is 73527333722389. The next prime is 73527333722461. The reversal of 73527333722441 is 14422733372537.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42575246550841 + 30952087171600 = 6524971^2 + 5563460^2 .

It is a cyclic number.

It is not a de Polignac number, because 73527333722441 - 2⁶ = 73527333722377 is a prime.

It is not a weakly prime, because it can be changed into another prime (73527333722461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36763666861220 + 36763666861221.

It is an arithmetic number, because the mean of its divisors is an integer number (36763666861221).

Almost surely, 2^{73527333722441} is an apocalyptic number.

It is an amenable number.

73527333722441 is a deficient number, since it is larger than the sum of its proper divisors (1).

73527333722441 is an equidigital number, since it uses as much as digits as its factorization.

73527333722441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 17781120, while the sum is 53.

The spelling of 73527333722441 in words is "seventy-three trillion, five hundred twenty-seven billion, three hundred thirty-three million, seven hundred twenty-two thousand, four hundred forty-one".