73209888001 has 2 divisors, whose sum is σ = 73209888002. Its totient is φ = 73209888000.

The previous prime is 73209887957. The next prime is 73209888049. The reversal of 73209888001 is 10088890237.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37655014401 + 35554873600 = 194049^2 + 188560^2 .

It is a cyclic number.

It is not a de Polignac number, because 73209888001 - 2¹⁵ = 73209855233 is a prime.

It is a super-2 number, since 2×73209888001² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (73209889001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36604944000 + 36604944001.

It is an arithmetic number, because the mean of its divisors is an integer number (36604944001).

Almost surely, 2^73209888001 is an apocalyptic number.

It is an amenable number.

73209888001 is a deficient number, since it is larger than the sum of its proper divisors (1).

73209888001 is an equidigital number, since it uses as much as digits as its factorization.

73209888001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 193536, while the sum is 46.

The spelling of 73209888001 in words is "seventy-three billion, two hundred nine million, eight hundred eighty-eight thousand, one".