27672761 has 2 divisors, whose sum is σ = 27672762. Its totient is φ = 27672760.

The previous prime is 27672679. The next prime is 27672763. The reversal of 27672761 is 16727672.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26327161 + 1345600 = 5131^2 + 1160^2 .

It is a cyclic number.

It is not a de Polignac number, because 27672761 - 2²² = 23478457 is a prime.

Together with 27672763, it forms a pair of twin primes.

It is a Chen prime.

It is an alternating number because its digits alternate between even and odd.

It is not a weakly prime, because it can be changed into another prime (27672763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13836380 + 13836381.

It is an arithmetic number, because the mean of its divisors is an integer number (13836381).

Almost surely, 2^27672761 is an apocalyptic number.

It is an amenable number.

27672761 is a deficient number, since it is larger than the sum of its proper divisors (1).

27672761 is an equidigital number, since it uses as much as digits as its factorization.

27672761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 49392, while the sum is 38.

The square root of 27672761 is about 5260.4905664776. The cubic root of 27672761 is about 302.4712938632.

It can be divided in two parts, 276 and 72761, that added together give a palindrome (73037).

The spelling of 27672761 in words is "twenty-seven million, six hundred seventy-two thousand, seven hundred sixty-one".