• Sorting the digits of 2³²⁷² in ascending order we obtain a prime of 894 digits.

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3272 has 8 divisors (see below), whose sum is σ = 6150. Its totient is φ = 1632.

The previous prime is 3271. The next prime is 3299. The reversal of 3272 is 2723.

Added to its reverse (2723) it gives a triangular number (5995 = T₁₀₉).

3272 = T₃ + T₄ + ... + T₂₆.

It can be written as a sum of positive squares in only one way, i.e., 2116 + 1156 = 46^2 + 34^2 .

It is a tau number, because it is divible by the number of its divisors (8).

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

3272 is a modest number, since divided by 72 gives 32 as remainder.

It is a plaindrome in base 14.

It is a nialpdrome in base 8, base 15 and base 16.

It is not an unprimeable number, because it can be changed into a prime (3271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 197 + ... + 212.

2³²⁷² is an apocalyptic number.

It is an amenable number.

3272 is a deficient number, since it is larger than the sum of its proper divisors (2878).

3272 is a wasteful number, since it uses less digits than its factorization.

3272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 411 counting only the distinct ones).

The product of its digits is 84, while the sum is 14.

The square root of 3272 is about 57.2013985843. The cubic root of 3272 is about 14.8458282409.

Adding to 3272 its reverse (2723), we get a palindrome (5995).

It can be divided in two parts, 32 and 72, that multiplied together give a square (2304 = 48²).

The spelling of 3272 in words is "three thousand, two hundred seventy-two", and thus it is an iban number.