27972761 has 8 divisors (see below), whose sum is σ = 29260224. Its totient is φ = 26691280.

The previous prime is 27972751. The next prime is 27972767. The reversal of 27972761 is 16727972.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 27972761 - 2⁶ = 27972697 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (27972767) 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 in 7 ways as a sum of consecutive naturals, for example, 10055 + ... + 12531.

It is an arithmetic number, because the mean of its divisors is an integer number (3657528).

Almost surely, 2^27972761 is an apocalyptic number.

It is an amenable number.

27972761 is a deficient number, since it is larger than the sum of its proper divisors (1287463).

27972761 is a wasteful number, since it uses less digits than its factorization.

27972761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2991.

The product of its digits is 74088, while the sum is 41.

The square root of 27972761 is about 5288.9281522819. The cubic root of 27972761 is about 303.5603966121.

The spelling of 27972761 in words is "twenty-seven million, nine hundred seventy-two thousand, seven hundred sixty-one".