72164107 has 2 divisors, whose sum is σ = 72164108. Its totient is φ = 72164106.

The previous prime is 72164047. The next prime is 72164119. The reversal of 72164107 is 70146127.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 72164107 - 2⁷ = 72163979 is a prime.

It is not a weakly prime, because it can be changed into another prime (72164177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36082053 + 36082054.

It is an arithmetic number, because the mean of its divisors is an integer number (36082054).

Almost surely, 2^72164107 is an apocalyptic number.

72164107 is a deficient number, since it is larger than the sum of its proper divisors (1).

72164107 is an equidigital number, since it uses as much as digits as its factorization.

72164107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 72164107 is about 8494.9459680448. The cubic root of 72164107 is about 416.3325954408.

The spelling of 72164107 in words is "seventy-two million, one hundred sixty-four thousand, one hundred seven".