6738672 has 80 divisors (see below), whose sum is σ = 18570240. Its totient is φ = 2102016.

The previous prime is 6738649. The next prime is 6738689. The reversal of 6738672 is 2768376.

6738672 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 6738672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65373 + ... + 65475.

It is an arithmetic number, because the mean of its divisors is an integer number (232128).

Almost surely, 2^6738672 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 6738672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9285120).

6738672 is an abundant number, since it is smaller than the sum of its proper divisors (11831568).

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

6738672 is a wasteful number, since it uses less digits than its factorization.

6738672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 184 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 6738672 is about 2595.8952213061. The cubic root of 6738672 is about 188.8823769125.

The spelling of 6738672 in words is "six million, seven hundred thirty-eight thousand, six hundred seventy-two".