673872 has 40 divisors (see below), whose sum is σ = 1770720. Its totient is φ = 220800.

The previous prime is 673837. The next prime is 673879. The reversal of 673872 is 278376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673879) by changing a digit.

673872 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4779 + ... + 4917.

It is an arithmetic number, because the mean of its divisors is an integer number (44268).

2⁶⁷³⁸⁷² 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 673872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885360).

673872 is an abundant number, since it is smaller than the sum of its proper divisors (1096848).

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

673872 is a wasteful number, since it uses less digits than its factorization.

673872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 245 counting only the distinct ones).

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

The square root of 673872 is about 820.8970702835. The cubic root of 673872 is about 87.6716413169.

The spelling of 673872 in words is "six hundred seventy-three thousand, eight hundred seventy-two".