272 has 10 divisors (see below), whose sum is σ = 558. Its totient is φ = 128.

The previous prime is 271. The next prime is 277.

Multipling 272 by its sum of digits (11), we get a palindrome (2992).

Adding to 272 its product of digits (28), we get a triangular number (300 = T_{24}).

It can be divided in two parts, 2 and 72, that multiplied together give a square (144 = 12^{2}).

272 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 256 + 16 = 16^2 + 4^2 .

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

272 is an undulating number in base 10.

It is a plaindrome in base 11, base 13 and base 14.

It is a nialpdrome in base 8, base 9 and base 16.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 272.

It is not an unprimeable number, because it can be changed into a prime (271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 272 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8 + ... + 24.

It is a pronic number, being equal to 16×17.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279).

272 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

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

272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25 (or 19 counting only the distinct ones).

The product of its digits is 28, while the sum is 11.

The square root of 272 is about 16.4924225025. The cubic root of 272 is about 6.4792236026.

The spelling of 272 in words is "two hundred seventy-two", and thus it is an aban number and an iban number.

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