73004257249 has 63 divisors (see below), whose sum is σ = 96747952899. Its totient is φ = 54924833040.

The previous prime is 73004257219. The next prime is 73004257253. The reversal of 73004257249 is 94275240037.

The square root of 73004257249 is 270193.

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., 38281661649 + 34722595600 = 195657^2 + 186340^2 .

It is not a de Polignac number, because 73004257249 - 2⁷ = 73004257121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73004257219) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2517388167 + ... + 2517388195.

Almost surely, 2^73004257249 is an apocalyptic number.

73004257249 is the 270193-rd square number.

73004257249 is the 135097-th centered octagonal number.

It is an amenable number.

73004257249 is a deficient number, since it is larger than the sum of its proper divisors (23743695650).

73004257249 is an frugal number, since it uses more digits than its factorization.

73004257249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 43.

The spelling of 73004257249 in words is "seventy-three billion, four million, two hundred fifty-seven thousand, two hundred forty-nine".