72863209 has 2 divisors, whose sum is σ = 72863210. Its totient is φ = 72863208.

The previous prime is 72863159. The next prime is 72863227. The reversal of 72863209 is 90236827.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54715609 + 18147600 = 7397^2 + 4260^2 .

It is a cyclic number.

It is not a de Polignac number, because 72863209 - 2¹¹ = 72861161 is a prime.

It is a Chen prime.

It is equal to p_4276486 and since 72863209 and 4276486 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (72863239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36431604 + 36431605.

It is an arithmetic number, because the mean of its divisors is an integer number (36431605).

Almost surely, 2^72863209 is an apocalyptic number.

It is an amenable number.

72863209 is a deficient number, since it is larger than the sum of its proper divisors (1).

72863209 is an equidigital number, since it uses as much as digits as its factorization.

72863209 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 72863209 is about 8535.9949039347. The cubic root of 72863209 is about 417.6727080167.

The spelling of 72863209 in words is "seventy-two million, eight hundred sixty-three thousand, two hundred nine".