372106006272001 has 2 divisors, whose sum is σ = 372106006272002. Its totient is φ = 372106006272000.

The previous prime is 372106006271953. The next prime is 372106006272019. The reversal of 372106006272001 is 100272600601273.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 336692259878976 + 35413746393025 = 18349176^2 + 5950945^2 .

It is a cyclic number.

It is not a de Polignac number, because 372106006272001 - 2²⁵ = 372105972717569 is a prime.

It is not a weakly prime, because it can be changed into another prime (372106006272061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 186053003136000 + 186053003136001.

It is an arithmetic number, because the mean of its divisors is an integer number (186053003136001).

Almost surely, 2^{372106006272001} is an apocalyptic number.

It is an amenable number.

372106006272001 is a deficient number, since it is larger than the sum of its proper divisors (1).

372106006272001 is an equidigital number, since it uses as much as digits as its factorization.

372106006272001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42336, while the sum is 37.

Adding to 372106006272001 its reverse (100272600601273), we get a palindrome (472378606873274).

The spelling of 372106006272001 in words is "three hundred seventy-two trillion, one hundred six billion, six million, two hundred seventy-two thousand, one".