72366705672329 has 2 divisors, whose sum is σ = 72366705672330. Its totient is φ = 72366705672328.

The previous prime is 72366705672323. The next prime is 72366705672361. The reversal of 72366705672329 is 92327650766327.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 48307337321104 + 24059368351225 = 6950348^2 + 4905035^2 .

It is a cyclic number.

It is not a de Polignac number, because 72366705672329 - 2³⁶ = 72297986195593 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (72366705672323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36183352836164 + 36183352836165.

It is an arithmetic number, because the mean of its divisors is an integer number (36183352836165).

Almost surely, 2^{72366705672329} is an apocalyptic number.

It is an amenable number.

72366705672329 is a deficient number, since it is larger than the sum of its proper divisors (1).

72366705672329 is an equidigital number, since it uses as much as digits as its factorization.

72366705672329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 240045120, while the sum is 65.

The spelling of 72366705672329 in words is "seventy-two trillion, three hundred sixty-six billion, seven hundred five million, six hundred seventy-two thousand, three hundred twenty-nine".