72104761 has 2 divisors, whose sum is σ = 72104762. Its totient is φ = 72104760.

The previous prime is 72104743. The next prime is 72104771. The reversal of 72104761 is 16740127.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67963536 + 4141225 = 8244^2 + 2035^2 .

It is an emirp because it is prime and its reverse (16740127) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72104761 - 2¹⁷ = 71973689 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72104731) 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, 36052380 + 36052381.

It is an arithmetic number, because the mean of its divisors is an integer number (36052381).

Almost surely, 2^72104761 is an apocalyptic number.

It is an amenable number.

72104761 is a deficient number, since it is larger than the sum of its proper divisors (1).

72104761 is an equidigital number, since it uses as much as digits as its factorization.

72104761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 72104761 is about 8491.4522315090. The cubic root of 72104761 is about 416.2184368868.

Adding to 72104761 its reverse (16740127), we get a palindrome (88844888).

The spelling of 72104761 in words is "seventy-two million, one hundred four thousand, seven hundred sixty-one".