73717730325409 has 9 divisors (see below), whose sum is σ = 73956698789619. Its totient is φ = 73479531618480.

The previous prime is 73717730325383. The next prime is 73717730325413. The reversal of 73717730325409 is 90452303771737.

The square root of 73717730325409 is 8585903.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 470287350625 + 73247442974784 = 685775^2 + 8558472^2 .

It is not a de Polignac number, because 73717730325409 - 2⁹ = 73717730324897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73717730325209) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2687373924 + ... + 2687401354.

Almost surely, 2^{73717730325409} is an apocalyptic number.

73717730325409 is the 8585903-rd square number.

73717730325409 is the 4292952-nd centered octagonal number.

It is an amenable number.

73717730325409 is a deficient number, since it is larger than the sum of its proper divisors (238968464210).

73717730325409 is an frugal number, since it uses more digits than its factorization.

73717730325409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55488 (or 27744 counting only the distinct ones).

The product of its (nonzero) digits is 23337720, while the sum is 58.

The spelling of 73717730325409 in words is "seventy-three trillion, seven hundred seventeen billion, seven hundred thirty million, three hundred twenty-five thousand, four hundred nine".