272106 has 16 divisors (see below), whose sum is σ = 604800. Its totient is φ = 90684.

The previous prime is 272093. The next prime is 272131. The reversal of 272106 is 601272.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 272106.

It is an unprimeable number.

272106 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2466 + ... + 2573.

It is an arithmetic number, because the mean of its divisors is an integer number (37800).

2²⁷²¹⁰⁶ is an apocalyptic number.

272106 is an abundant number, since it is smaller than the sum of its proper divisors (332694).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

272106 is a wasteful number, since it uses less digits than its factorization.

272106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5050 (or 5044 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 272106 is about 521.6378053784. The cubic root of 272106 is about 64.8006515710.

Adding to 272106 its reverse (601272), we get a palindrome (873378).

It can be divided in two parts, 272 and 106, that added together give a triangular number (378 = T₂₇).

The spelling of 272106 in words is "two hundred seventy-two thousand, one hundred six".