2072165202073 has 2 divisors, whose sum is σ = 2072165202074. Its totient is φ = 2072165202072.

The previous prime is 2072165202001. The next prime is 2072165202119. The reversal of 2072165202073 is 3702025612702.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1457215951104 + 614949250969 = 1207152^2 + 784187^2 .

It is a cyclic number.

It is not a de Polignac number, because 2072165202073 - 2¹⁷ = 2072165071001 is a prime.

It is not a weakly prime, because it can be changed into another prime (2072165202673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1036082601036 + 1036082601037.

It is an arithmetic number, because the mean of its divisors is an integer number (1036082601037).

Almost surely, 2^{2072165202073} is an apocalyptic number.

It is an amenable number.

2072165202073 is a deficient number, since it is larger than the sum of its proper divisors (1).

2072165202073 is an equidigital number, since it uses as much as digits as its factorization.

2072165202073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 70560, while the sum is 37.

The spelling of 2072165202073 in words is "two trillion, seventy-two billion, one hundred sixty-five million, two hundred two thousand, seventy-three".