72812261 has 2 divisors, whose sum is σ = 72812262. Its totient is φ = 72812260.

The previous prime is 72812239. The next prime is 72812279. The reversal of 72812261 is 16221827.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72148036 + 664225 = 8494^2 + 815^2 .

It is an emirp because it is prime and its reverse (16221827) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72812261 - 2⁶ = 72812197 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72812281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36406130 + 36406131.

It is an arithmetic number, because the mean of its divisors is an integer number (36406131).

Almost surely, 2^72812261 is an apocalyptic number.

It is an amenable number.

72812261 is a deficient number, since it is larger than the sum of its proper divisors (1).

72812261 is an equidigital number, since it uses as much as digits as its factorization.

72812261 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2688, while the sum is 29.

The square root of 72812261 is about 8533.0100785127. The cubic root of 72812261 is about 417.5753358261.

The spelling of 72812261 in words is "seventy-two million, eight hundred twelve thousand, two hundred sixty-one".