672112 has 40 divisors (see below), whose sum is σ = 1580256. Its totient is φ = 270336.

The previous prime is 672107. The next prime is 672127. The reversal of 672112 is 211276.

It is an Ulam number.

It is a plaindrome in base 6.

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 672112.

It is a congruent number.

It is an unprimeable number.

672112 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1728 + ... + 2080.

2⁶⁷²¹¹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 672112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790128).

672112 is an abundant number, since it is smaller than the sum of its proper divisors (908144).

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

672112 is a wasteful number, since it uses less digits than its factorization.

672112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 379 counting only the distinct ones).

The product of its digits is 168, while the sum is 19.

The square root of 672112 is about 819.8243714357. The cubic root of 672112 is about 87.5952486598.

Adding to 672112 its reverse (211276), we get a palindrome (883388).

It can be divided in two parts, 672 and 112, that added together give a square (784 = 28²).

The spelling of 672112 in words is "six hundred seventy-two thousand, one hundred twelve".