73029705817 has 8 divisors (see below), whose sum is σ = 75835728360. Its totient is φ = 70272483840.

The previous prime is 73029705797. The next prime is 73029705893. The reversal of 73029705817 is 71850792037.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2028241296 + 71001464521 = 45036^2 + 266461^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 73029705817 - 2⁷ = 73029705689 is a prime.

It is a super-3 number, since 3×73029705817³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73029700817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12197092 + ... + 12203077.

It is an arithmetic number, because the mean of its divisors is an integer number (9479466045).

Almost surely, 2^73029705817 is an apocalyptic number.

It is an amenable number.

73029705817 is a deficient number, since it is larger than the sum of its proper divisors (2806022543).

73029705817 is a wasteful number, since it uses less digits than its factorization.

73029705817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24400283.

The product of its (nonzero) digits is 740880, while the sum is 49.

The spelling of 73029705817 in words is "seventy-three billion, twenty-nine million, seven hundred five thousand, eight hundred seventeen".