72578728069213 has 2 divisors, whose sum is σ = 72578728069214. Its totient is φ = 72578728069212.

The previous prime is 72578728069201. The next prime is 72578728069231. The reversal of 72578728069213 is 31296082787527.

Together with next prime (72578728069231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58296844046169 + 14281884023044 = 7635237^2 + 3779138^2 .

It is an emirp because it is prime and its reverse (31296082787527) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72578728069213 - 2²¹ = 72578725972061 is a prime.

It is a super-3 number, since 3×72578728069213³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72578728069013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36289364034606 + 36289364034607.

It is an arithmetic number, because the mean of its divisors is an integer number (36289364034607).

Almost surely, 2^{72578728069213} is an apocalyptic number.

It is an amenable number.

72578728069213 is a deficient number, since it is larger than the sum of its proper divisors (1).

72578728069213 is an equidigital number, since it uses as much as digits as its factorization.

72578728069213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 142248960, while the sum is 67.

The spelling of 72578728069213 in words is "seventy-two trillion, five hundred seventy-eight billion, seven hundred twenty-eight million, sixty-nine thousand, two hundred thirteen".