72464209 has 2 divisors, whose sum is σ = 72464210. Its totient is φ = 72464208.

The previous prime is 72464207. The next prime is 72464239. The reversal of 72464209 is 90246427.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58476609 + 13987600 = 7647^2 + 3740^2 .

It is a cyclic number.

It is not a de Polignac number, because 72464209 - 2¹ = 72464207 is a prime.

Together with 72464207, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (72464201) 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, 36232104 + 36232105.

It is an arithmetic number, because the mean of its divisors is an integer number (36232105).

Almost surely, 2^72464209 is an apocalyptic number.

It is an amenable number.

72464209 is a deficient number, since it is larger than the sum of its proper divisors (1).

72464209 is an equidigital number, since it uses as much as digits as its factorization.

72464209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 72464209 is about 8512.5912036230. The cubic root of 72464209 is about 416.9089181846.

The spelling of 72464209 in words is "seventy-two million, four hundred sixty-four thousand, two hundred nine".