6732768 has 96 divisors (see below), whose sum is σ = 20756736. Its totient is φ = 1870848.

The previous prime is 6732751. The next prime is 6732773. The reversal of 6732768 is 8672376.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (84672) is a multiple of the sum of its prime divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28780 + ... + 29012.

It is an arithmetic number, because the mean of its divisors is an integer number (216216).

Almost surely, 2^6732768 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 6732768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10378368).

6732768 is an abundant number, since it is smaller than the sum of its proper divisors (14023968).

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

6732768 is a wasteful number, since it uses less digits than its factorization.

6732768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 288 counting only the distinct ones).

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

The square root of 6732768 is about 2594.7577921648. The cubic root of 6732768 is about 188.8271985138.

The spelling of 6732768 in words is "six million, seven hundred thirty-two thousand, seven hundred sixty-eight".