3072 has 22 divisors (see below), whose sum is σ = 8188. Its totient is φ = 1024.

The previous prime is 3067. The next prime is 3079. The reversal of 3072 is 2703.

Multipling 3072 by its sum of digits (12), we get a square (36864 = 192^{2}).

3072 divided by its sum of digits (12) gives a 8-th power (256 = 2^{8}).

Adding to 3072 its reverse (2703), we get a palindrome (5775).

It is a Jordan-Polya number, since it can be written as 4! ⋅ (2!)^{7}.

3072 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (12).

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

It is a nialpdrome in base 2, base 4, base 8 and base 16.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (3079) by changing a digit.

3072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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

In principle, a polygon with 3072 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, 1023 + 1024 + 1025.

2^{3072} is an apocalyptic number.

3072 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4094).

3072 is an abundant number, since it is smaller than the sum of its proper divisors (5116).

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

3072 is an equidigital number, since it uses as much as digits as its factorization.

3072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 12.

The square root of 3072 is about 55.4256258422. The cubic root of 3072 is about 14.5369647427.

The spelling of 3072 in words is "three thousand, seventy-two", and thus it is an iban number.

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