72131121241 has 2 divisors, whose sum is σ = 72131121242. Its totient is φ = 72131121240.

The previous prime is 72131121197. The next prime is 72131121259. The reversal of 72131121241 is 14212113127.

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., 70732062025 + 1399059216 = 265955^2 + 37404^2 .

It is a cyclic number.

It is not a de Polignac number, because 72131121241 - 2²⁷ = 71996903513 is a prime.

It is not a weakly prime, because it can be changed into another prime (72131121341) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36065560620 + 36065560621.

It is an arithmetic number, because the mean of its divisors is an integer number (36065560621).

Almost surely, 2^72131121241 is an apocalyptic number.

It is an amenable number.

72131121241 is a deficient number, since it is larger than the sum of its proper divisors (1).

72131121241 is an equidigital number, since it uses as much as digits as its factorization.

72131121241 is an evil number, because the sum of its binary digits is even.

The product of its digits is 672, while the sum is 25.

Adding to 72131121241 its reverse (14212113127), we get a palindrome (86343234368).

The spelling of 72131121241 in words is "seventy-two billion, one hundred thirty-one million, one hundred twenty-one thousand, two hundred forty-one".