73209748329 has 9 divisors (see below), whose sum is σ = 105748586749. Its totient is φ = 48805957740.

The previous prime is 73209748321. The next prime is 73209748361. The reversal of 73209748329 is 92384790237.

The square root of 73209748329 is 270573.

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

73209748329 is a `hidden beast` number, since 73 + 2 + 0 + 97 + 483 + 2 + 9 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 73209748329 - 2³ = 73209748321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73209748321) 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, 766624 + ... + 856814.

Almost surely, 2^73209748329 is an apocalyptic number.

73209748329 is the 270573-rd square number.

73209748329 is the 135287-th centered octagonal number.

It is an amenable number.

73209748329 is a deficient number, since it is larger than the sum of its proper divisors (32538838420).

73209748329 is an frugal number, since it uses more digits than its factorization.

73209748329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180388 (or 90194 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 73209748329 in words is "seventy-three billion, two hundred nine million, seven hundred forty-eight thousand, three hundred twenty-nine".