72364517 has 2 divisors, whose sum is σ = 72364518. Its totient is φ = 72364516.

The previous prime is 72364507. The next prime is 72364519. The reversal of 72364517 is 71546327.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41550916 + 30813601 = 6446^2 + 5551^2 .

It is a cyclic number.

It is not a de Polignac number, because 72364517 - 2¹⁰ = 72363493 is a prime.

Together with 72364519, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72364519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36182258 + 36182259.

It is an arithmetic number, because the mean of its divisors is an integer number (36182259).

Almost surely, 2^72364517 is an apocalyptic number.

It is an amenable number.

72364517 is a deficient number, since it is larger than the sum of its proper divisors (1).

72364517 is an equidigital number, since it uses as much as digits as its factorization.

72364517 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 35280, while the sum is 35.

The square root of 72364517 is about 8506.7336269569. The cubic root of 72364517 is about 416.7176441806.

The spelling of 72364517 in words is "seventy-two million, three hundred sixty-four thousand, five hundred seventeen".