73144427797729 has 2 divisors, whose sum is σ = 73144427797730. Its totient is φ = 73144427797728.

The previous prime is 73144427797699. The next prime is 73144427797871. The reversal of 73144427797729 is 92779772444137.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 52571417878225 + 20573009919504 = 7250615^2 + 4535748^2 .

It is a cyclic number.

It is not a de Polignac number, because 73144427797729 - 2⁵ = 73144427797697 is a prime.

It is not a weakly prime, because it can be changed into another prime (73144427797429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36572213898864 + 36572213898865.

It is an arithmetic number, because the mean of its divisors is an integer number (36572213898865).

Almost surely, 2^{73144427797729} is an apocalyptic number.

It is an amenable number.

73144427797729 is a deficient number, since it is larger than the sum of its proper divisors (1).

73144427797729 is an equidigital number, since it uses as much as digits as its factorization.

73144427797729 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1045529856, while the sum is 73.

The spelling of 73144427797729 in words is "seventy-three trillion, one hundred forty-four billion, four hundred twenty-seven million, seven hundred ninety-seven thousand, seven hundred twenty-nine".