72220611200009 has 2 divisors, whose sum is σ = 72220611200010. Its totient is φ = 72220611200008.

The previous prime is 72220611199937. The next prime is 72220611200027. The reversal of 72220611200009 is 90000211602227.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70255778224384 + 1964832975625 = 8381872^2 + 1401725^2 .

It is a cyclic number.

It is not a de Polignac number, because 72220611200009 - 2²⁸ = 72220342764553 is a prime.

It is a super-2 number, since 2×72220611200009² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72220611200029) 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, 36110305600004 + 36110305600005.

It is an arithmetic number, because the mean of its divisors is an integer number (36110305600005).

Almost surely, 2^{72220611200009} is an apocalyptic number.

It is an amenable number.

72220611200009 is a deficient number, since it is larger than the sum of its proper divisors (1).

72220611200009 is an equidigital number, since it uses as much as digits as its factorization.

72220611200009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 32.

The spelling of 72220611200009 in words is "seventy-two trillion, two hundred twenty billion, six hundred eleven million, two hundred thousand, nine".