72364319 has 2 divisors, whose sum is σ = 72364320. Its totient is φ = 72364318.

The previous prime is 72364307. The next prime is 72364351. The reversal of 72364319 is 91346327.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 72364319 - 2¹⁶ = 72298783 is a prime.

It is a super-2 number, since 2×72364319² = 10473189328667522, which contains 22 as substring.

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, 36182159 + 36182160.

It is an arithmetic number, because the mean of its divisors is an integer number (36182160).

Almost surely, 2^72364319 is an apocalyptic number.

72364319 is a deficient number, since it is larger than the sum of its proper divisors (1).

72364319 is an equidigital number, since it uses as much as digits as its factorization.

72364319 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 27216, while the sum is 35.

The square root of 72364319 is about 8506.7219891096. The cubic root of 72364319 is about 416.7172641133.

The spelling of 72364319 in words is "seventy-two million, three hundred sixty-four thousand, three hundred nineteen".