73189201 has 2 divisors, whose sum is σ = 73189202. Its totient is φ = 73189200.

The previous prime is 73189189. The next prime is 73189213. The reversal of 73189201 is 10298137.

It is a balanced prime because it is at equal distance from previous prime (73189189) and next prime (73189213).

It can be written as a sum of positive squares in only one way, i.e., 57380625 + 15808576 = 7575^2 + 3976^2 .

It is an emirp because it is prime and its reverse (10298137) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 73189201 - 2⁵ = 73189169 is a prime.

It is not a weakly prime, because it can be changed into another prime (73189601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36594600 + 36594601.

It is an arithmetic number, because the mean of its divisors is an integer number (36594601).

Almost surely, 2^73189201 is an apocalyptic number.

It is an amenable number.

73189201 is a deficient number, since it is larger than the sum of its proper divisors (1).

73189201 is an equidigital number, since it uses as much as digits as its factorization.

73189201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 73189201 is about 8555.0687314597. The cubic root of 73189201 is about 418.2946744309.

The spelling of 73189201 in words is "seventy-three million, one hundred eighty-nine thousand, two hundred one".