6272 has 24 divisors (see below), whose sum is σ = 14535. Its totient is φ = 2688.

The previous prime is 6271. The next prime is 6277. The reversal of 6272 is 2726.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 3136 + 3136 = 56^2 + 56^2 .

It is an ABA number since it can be written as A⋅B^{A}, here for A=2, B=56.

It is a Duffinian number.

Its product of digits (168) is a multiple of the sum of its prime factors (28).

It is a self number, because there is not a number *n* which added to its sum of digits gives 6272.

It is not an unprimeable number, because it can be changed into a prime (6271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 893 + ... + 899.

2^{6272} is an apocalyptic number.

6272 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6272

6272 is an abundant number, since it is smaller than the sum of its proper divisors (8263).

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

6272 is an equidigital number, since it uses as much as digits as its factorization.

6272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28 (or 9 counting only the distinct ones).

The product of its digits is 168, while the sum is 17.

The square root of 6272 is about 79.1959594929. The cubic root of 6272 is about 18.4417451682.

The spelling of 6272 in words is "six thousand, two hundred seventy-two".

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