72164845369 has 2 divisors, whose sum is σ = 72164845370. Its totient is φ = 72164845368.

The previous prime is 72164845297. The next prime is 72164845447. The reversal of 72164845369 is 96354846127.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68539240000 + 3625605369 = 261800^2 + 60213^2 .

It is a cyclic number.

It is not a de Polignac number, because 72164845369 - 2¹¹ = 72164843321 is a prime.

It is a super-2 number, since 2×72164845369² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72164845069) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36082422684 + 36082422685.

It is an arithmetic number, because the mean of its divisors is an integer number (36082422685).

Almost surely, 2^72164845369 is an apocalyptic number.

It is an amenable number.

72164845369 is a deficient number, since it is larger than the sum of its proper divisors (1).

72164845369 is an equidigital number, since it uses as much as digits as its factorization.

72164845369 is an evil number, because the sum of its binary digits is even.

The product of its digits is 8709120, while the sum is 55.

The spelling of 72164845369 in words is "seventy-two billion, one hundred sixty-four million, eight hundred forty-five thousand, three hundred sixty-nine".