67672 has 16 divisors (see below), whose sum is σ = 138600. Its totient is φ = 30720.

The previous prime is 67651. The next prime is 67679. The reversal of 67672 is 27676.

It is an Ulam number.

It is a d-powerful number, because it can be written as 6⁴ + 7⁴ + 6⁶ + 7⁵ + 2⁹ .

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

It is a self number, because there is not a number n which added to its sum of digits gives 67672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 297 + ... + 472.

2⁶⁷⁶⁷² is an apocalyptic number.

It is an amenable number.

67672 is an abundant number, since it is smaller than the sum of its proper divisors (70928).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69300).

67672 is a wasteful number, since it uses less digits than its factorization.

67672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 782 counting only the distinct ones).

The product of its digits is 3528, while the sum is 28.

The square root of 67672 is about 260.1384246896. The cubic root of 67672 is about 40.7508186068.

The spelling of 67672 in words is "sixty-seven thousand, six hundred seventy-two".