673728 has 84 divisors (see below), whose sum is σ = 2026920. Its totient is φ = 197120.

The previous prime is 673669. The next prime is 673747. The reversal of 673728 is 827376.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23218 + ... + 23246.

It is an arithmetic number, because the mean of its divisors is an integer number (24130).

2⁶⁷³⁷²⁸ 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 673728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013460).

673728 is an abundant number, since it is smaller than the sum of its proper divisors (1353192).

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

673728 is a wasteful number, since it uses less digits than its factorization.

673728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 45 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 673728 is about 820.8093566718. The cubic root of 673728 is about 87.6653960084.

The spelling of 673728 in words is "six hundred seventy-three thousand, seven hundred twenty-eight".