72106241 has 2 divisors, whose sum is σ = 72106242. Its totient is φ = 72106240.

The previous prime is 72106171. The next prime is 72106247. The reversal of 72106241 is 14260127.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66912400 + 5193841 = 8180^2 + 2279^2 .

It is a cyclic number.

It is not a de Polignac number, because 72106241 - 2¹⁰ = 72105217 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (72106247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36053120 + 36053121.

It is an arithmetic number, because the mean of its divisors is an integer number (36053121).

Almost surely, 2^72106241 is an apocalyptic number.

It is an amenable number.

72106241 is a deficient number, since it is larger than the sum of its proper divisors (1).

72106241 is an equidigital number, since it uses as much as digits as its factorization.

72106241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 72106241 is about 8491.5393775216. The cubic root of 72106241 is about 416.2212845909.

Adding to 72106241 its reverse (14260127), we get a palindrome (86366368).

The spelling of 72106241 in words is "seventy-two million, one hundred six thousand, two hundred forty-one".