72935643301 has 2 divisors, whose sum is σ = 72935643302. Its totient is φ = 72935643300.

The previous prime is 72935643299. The next prime is 72935643427. The reversal of 72935643301 is 10334653927.

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., 72926462401 + 9180900 = 270049^2 + 3030^2 .

It is a cyclic number.

It is not a de Polignac number, because 72935643301 - 2¹ = 72935643299 is a prime.

Together with 72935643299, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72935643601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36467821650 + 36467821651.

It is an arithmetic number, because the mean of its divisors is an integer number (36467821651).

Almost surely, 2^72935643301 is an apocalyptic number.

It is an amenable number.

72935643301 is a deficient number, since it is larger than the sum of its proper divisors (1).

72935643301 is an equidigital number, since it uses as much as digits as its factorization.

72935643301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 408240, while the sum is 43.

The spelling of 72935643301 in words is "seventy-two billion, nine hundred thirty-five million, six hundred forty-three thousand, three hundred one".