72832698013 has 2 divisors, whose sum is σ = 72832698014. Its totient is φ = 72832698012.

The previous prime is 72832698011. The next prime is 72832698017. The reversal of 72832698013 is 31089623827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 50056455289 + 22776242724 = 223733^2 + 150918^2 .

It is an emirp because it is prime and its reverse (31089623827) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72832698013 - 2¹ = 72832698011 is a prime.

Together with 72832698011, 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 (72832698011) 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, 36416349006 + 36416349007.

It is an arithmetic number, because the mean of its divisors is an integer number (36416349007).

Almost surely, 2^72832698013 is an apocalyptic number.

It is an amenable number.

72832698013 is a deficient number, since it is larger than the sum of its proper divisors (1).

72832698013 is an equidigital number, since it uses as much as digits as its factorization.

72832698013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 870912, while the sum is 49.

The spelling of 72832698013 in words is "seventy-two billion, eight hundred thirty-two million, six hundred ninety-eight thousand, thirteen".