72164446141 has 2 divisors, whose sum is σ = 72164446142. Its totient is φ = 72164446140.

The previous prime is 72164446111. The next prime is 72164446177. The reversal of 72164446141 is 14164446127.

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., 70518926916 + 1645519225 = 265554^2 + 40565^2 .

It is a cyclic number.

It is not a de Polignac number, because 72164446141 - 2¹⁹ = 72163921853 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72164446094 and 72164446103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72164446111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36082223070 + 36082223071.

It is an arithmetic number, because the mean of its divisors is an integer number (36082223071).

Almost surely, 2^72164446141 is an apocalyptic number.

It is an amenable number.

72164446141 is a deficient number, since it is larger than the sum of its proper divisors (1).

72164446141 is an equidigital number, since it uses as much as digits as its factorization.

72164446141 is an evil number, because the sum of its binary digits is even.

The product of its digits is 129024, while the sum is 40.

The spelling of 72164446141 in words is "seventy-two billion, one hundred sixty-four million, four hundred forty-six thousand, one hundred forty-one".