73338597721 has 9 divisors (see below), whose sum is σ = 73724896351. Its totient is φ = 72954316912.

The previous prime is 73338597713. The next prime is 73338597751. The reversal of 73338597721 is 12779583337.

The square root of 73338597721 is 270811.

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., 37668987225 + 35669610496 = 194085^2 + 188864^2 .

It is not a de Polignac number, because 73338597721 - 2³ = 73338597713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73338597751) 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, 61473501 + ... + 61474693.

Almost surely, 2^73338597721 is an apocalyptic number.

73338597721 is the 270811-st square number.

73338597721 is the 135406-th centered octagonal number.

It is an amenable number.

73338597721 is a deficient number, since it is larger than the sum of its proper divisors (386298630).

73338597721 is an frugal number, since it uses more digits than its factorization.

73338597721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2840 (or 1420 counting only the distinct ones).

The product of its digits is 6667920, while the sum is 55.

The spelling of 73338597721 in words is "seventy-three billion, three hundred thirty-eight million, five hundred ninety-seven thousand, seven hundred twenty-one".