27872163 has 24 divisors (see below), whose sum is σ = 46506096. Its totient is φ = 15897600.

The previous prime is 27872153. The next prime is 27872167. The reversal of 27872163 is 36127872.

It is not a de Polignac number, because 27872163 - 2⁶ = 27872099 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (27872167) 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 23 ways as a sum of consecutive naturals, for example, 6598 + ... + 9963.

It is an arithmetic number, because the mean of its divisors is an integer number (1937754).

Almost surely, 2^27872163 is an apocalyptic number.

27872163 is a deficient number, since it is larger than the sum of its proper divisors (18633933).

27872163 is a wasteful number, since it uses less digits than its factorization.

27872163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16595 (or 16592 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 27872163 is about 5279.4093419624. The cubic root of 27872163 is about 303.1960630216.

It can be divided in two parts, 278721 and 63, that added together give a square (278784 = 528²).

The spelling of 27872163 in words is "twenty-seven million, eight hundred seventy-two thousand, one hundred sixty-three".