72164597 has 2 divisors, whose sum is σ = 72164598. Its totient is φ = 72164596.

The previous prime is 72164539. The next prime is 72164623. The reversal of 72164597 is 79546127.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68128516 + 4036081 = 8254^2 + 2009^2 .

It is a cyclic number.

It is not a de Polignac number, because 72164597 - 2¹⁰ = 72163573 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72164297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36082298 + 36082299.

It is an arithmetic number, because the mean of its divisors is an integer number (36082299).

Almost surely, 2^72164597 is an apocalyptic number.

It is an amenable number.

72164597 is a deficient number, since it is larger than the sum of its proper divisors (1).

72164597 is an equidigital number, since it uses as much as digits as its factorization.

72164597 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 105840, while the sum is 41.

The square root of 72164597 is about 8494.9748086737. The cubic root of 72164597 is about 416.3335377491. Note that the first 3 decimals are identical.

The spelling of 72164597 in words is "seventy-two million, one hundred sixty-four thousand, five hundred ninety-seven".