72127201 has 2 divisors, whose sum is σ = 72127202. Its totient is φ = 72127200.

The previous prime is 72127177. The next prime is 72127219. The reversal of 72127201 is 10272127.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68973025 + 3154176 = 8305^2 + 1776^2 .

It is an emirp because it is prime and its reverse (10272127) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72127201 - 2⁵ = 72127169 is a prime.

It is not a weakly prime, because it can be changed into another prime (72127001) 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, 36063600 + 36063601.

It is an arithmetic number, because the mean of its divisors is an integer number (36063601).

Almost surely, 2^72127201 is an apocalyptic number.

It is an amenable number.

72127201 is a deficient number, since it is larger than the sum of its proper divisors (1).

72127201 is an equidigital number, since it uses as much as digits as its factorization.

72127201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 392, while the sum is 22.

The square root of 72127201 is about 8492.7734574755. The cubic root of 72127201 is about 416.2616100553.

Adding to 72127201 its reverse (10272127), we get a palindrome (82399328).

The spelling of 72127201 in words is "seventy-two million, one hundred twenty-seven thousand, two hundred one".