73522864801 has 9 divisors (see below), whose sum is σ = 73816604211. Its totient is φ = 73230292872.

The previous prime is 73522864777. The next prime is 73522864819. The reversal of 73522864801 is 10846822537.

The square root of 73522864801 is 271151.

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., 49272900625 + 24249964176 = 221975^2 + 155724^2 .

It is not a de Polignac number, because 73522864801 - 2¹¹ = 73522862753 is a prime.

It is a super-2 number, since 2×73522864801² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73522864841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 107646606 + ... + 107647288.

Almost surely, 2^73522864801 is an apocalyptic number.

73522864801 is the 271151-st square number.

73522864801 is the 135576-th centered octagonal number.

It is an amenable number.

73522864801 is a deficient number, since it is larger than the sum of its proper divisors (293739410).

73522864801 is an frugal number, since it uses more digits than its factorization.

73522864801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 73522864801 in words is "seventy-three billion, five hundred twenty-two million, eight hundred sixty-four thousand, eight hundred one".