272167 has 8 divisors (see below), whose sum is σ = 316800. Its totient is φ = 228984.

The previous prime is 272141. The next prime is 272171. The reversal of 272167 is 761272.

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

It is not a de Polignac number, because 272167 - 2⁷ = 272039 is a prime.

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

It is a Duffinian number.

272167 is a lucky number.

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272267) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84 + ... + 742.

It is an arithmetic number, because the mean of its divisors is an integer number (39600).

2²⁷²¹⁶⁷ is an apocalyptic number.

272167 is a deficient number, since it is larger than the sum of its proper divisors (44633).

272167 is an equidigital number, since it uses as much as digits as its factorization.

272167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725.

The product of its digits is 1176, while the sum is 25.

The square root of 272167 is about 521.6962717904. The cubic root of 272167 is about 64.8054934884.

The spelling of 272167 in words is "two hundred seventy-two thousand, one hundred sixty-seven".