72127001 has 2 divisors, whose sum is σ = 72127002. Its totient is φ = 72127000.

The previous prime is 72126979. The next prime is 72127037. The reversal of 72127001 is 10072127.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 60217600 + 11909401 = 7760^2 + 3451^2 .

It is a cyclic number.

It is not a de Polignac number, because 72127001 - 2²⁶ = 5018137 is a prime.

It is not a weakly prime, because it can be changed into another prime (72127051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36063500 + 36063501.

It is an arithmetic number, because the mean of its divisors is an integer number (36063501).

Almost surely, 2^72127001 is an apocalyptic number.

It is an amenable number.

72127001 is a deficient number, since it is larger than the sum of its proper divisors (1).

72127001 is an equidigital number, since it uses as much as digits as its factorization.

72127001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 196, while the sum is 20.

The square root of 72127001 is about 8492.7616827508. The cubic root of 72127001 is about 416.2612253073.

Adding to 72127001 its reverse (10072127), we get a palindrome (82199128).

The spelling of 72127001 in words is "seventy-two million, one hundred twenty-seven thousand, one".