6744672 has 72 divisors (see below), whose sum is σ = 20933640. Its totient is φ = 2042880.

The previous prime is 6744667. The next prime is 6744757. The reversal of 6744672 is 2764476.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2104 + ... + 4232.

It is an arithmetic number, because the mean of its divisors is an integer number (290745).

Almost surely, 2^6744672 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 6744672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10466820).

6744672 is an abundant number, since it is smaller than the sum of its proper divisors (14188968).

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

6744672 is a wasteful number, since it uses less digits than its factorization.

6744672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2156 (or 2145 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 6744672 is about 2597.0506348549. The cubic root of 6744672 is about 188.9384195112.

The spelling of 6744672 in words is "six million, seven hundred forty-four thousand, six hundred seventy-two".