672

672 is a natural number that follows 671 and precedes 673. It is even and composite, with a range of straightforward arithmetic properties.

The prime factorization of 672 is 2^5 × 3 × 7. This yields 24 positive divisors in total (calculated as (5+1)(1+1)(1+1) = 24). The sum of all divisors, including 672 itself, is 2016, which means the sum of proper divisors is 2016 − 672 = 1344. Because the sum of proper divisors (1344) exceeds 672, 672 is an abundant number. Its divisor structure also makes it a 3-multiply-perfect number, since the sum of its divisors equals 3 times the number (2016 = 3 × 672).

In various numeral systems, 672 is represented as follows: in binary it is 1010100000_2, in octal 1240_8, and in hexadecimal 2A0_16. In Roman numerals it is written as DCLXXII.

As a time-related observation, 672 hours equal 28 days (two dozen weeks), which gives a simple conversion between hours and days: 672 hours = 28 days. Beyond these arithmetic and representation aspects, 672 does not have a widely noted single historical or scientific designation, but it appears in number theory as an example of an abundant, multiply perfect number.