72109127 has 2 divisors, whose sum is σ = 72109128. Its totient is φ = 72109126.

The previous prime is 72109111. The next prime is 72109157. The reversal of 72109127 is 72190127.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 72109127 - 2⁴ = 72109111 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72109127.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72109157) 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, 36054563 + 36054564.

It is an arithmetic number, because the mean of its divisors is an integer number (36054564).

Almost surely, 2^72109127 is an apocalyptic number.

72109127 is a deficient number, since it is larger than the sum of its proper divisors (1).

72109127 is an equidigital number, since it uses as much as digits as its factorization.

72109127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1764, while the sum is 29.

The square root of 72109127 is about 8491.7093096738. The cubic root of 72109127 is about 416.2268375019.

The spelling of 72109127 in words is "seventy-two million, one hundred nine thousand, one hundred twenty-seven".