1673672 has 96 divisors (see below), whose sum is σ = 4468800. Its totient is φ = 570240.

The previous prime is 1673669. The next prime is 1673681. The reversal of 1673672 is 2763761.

1673672 = 29² + 30² + ... + 171².

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88079 + ... + 88097.

It is an arithmetic number, because the mean of its divisors is an integer number (46550).

2^1673672 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 1673672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2234400).

1673672 is an abundant number, since it is smaller than the sum of its proper divisors (2795128).

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

1673672 is a wasteful number, since it uses less digits than its factorization.

1673672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 52 counting only the distinct ones).

The product of its digits is 10584, while the sum is 32.

The square root of 1673672 is about 1293.7047576630. The cubic root of 1673672 is about 118.7289927752.

The spelling of 1673672 in words is "one million, six hundred seventy-three thousand, six hundred seventy-two".