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12672 = 273211
BaseRepresentation
bin11000110000000
3122101100
43012000
5401142
6134400
751642
oct30600
918340
1012672
119580
127400
1359ca
144892
153b4c
hex3180

12672 has 48 divisors (see below), whose sum is σ = 39780. Its totient is φ = 3840.

The previous prime is 12671. The next prime is 12689. The reversal of 12672 is 27621.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a nialpdrome in base 12.

It is a zygodrome in base 2.

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 12672.

It is not an unprimeable number, because it can be changed into a prime (12671) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1147 + ... + 1157.

212672 is an apocalyptic number.

12672 is a gapful number since it is divisible by the number (12) 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 12672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19890).

12672 is an abundant number, since it is smaller than the sum of its proper divisors (27108).

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

12672 is a wasteful number, since it uses less digits than its factorization.

12672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31 (or 16 counting only the distinct ones).

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

The square root of 12672 is about 112.5699782358. The cubic root of 12672 is about 23.3139067330.

The spelling of 12672 in words is "twelve thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 4224 6336 12672