6792672 has 48 divisors (see below), whose sum is σ = 17977680. Its totient is φ = 2245632.

The previous prime is 6792631. The next prime is 6792679. The reversal of 6792672 is 2762976.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×6792672² = 92280785799168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6792672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6792679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16404 + ... + 16812.

It is an arithmetic number, because the mean of its divisors is an integer number (374535).

Almost surely, 2^6792672 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 6792672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8988840).

6792672 is an abundant number, since it is smaller than the sum of its proper divisors (11185008).

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

6792672 is a wasteful number, since it uses less digits than its factorization.

6792672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 587 counting only the distinct ones).

The product of its digits is 63504, while the sum is 39.

The square root of 6792672 is about 2606.2755034723. The cubic root of 6792672 is about 189.3855682542.

The spelling of 6792672 in words is "six million, seven hundred ninety-two thousand, six hundred seventy-two".