6725656 has 32 divisors (see below), whose sum is σ = 14595840. Its totient is φ = 2845728.

The previous prime is 6725633. The next prime is 6725657. The reversal of 6725656 is 6565276.

It is a super-3 number, since 3×6725656³ (a number of 21 digits) contains 333 as substring.

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

6725656 is a modest number, since divided by 5656 gives 672 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6725657) 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, 3925 + ... + 5371.

It is an arithmetic number, because the mean of its divisors is an integer number (456120).

Almost surely, 2^6725656 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 6725656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7297920).

6725656 is an abundant number, since it is smaller than the sum of its proper divisors (7870184).

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

6725656 is a wasteful number, since it uses less digits than its factorization.

6725656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1543 (or 1539 counting only the distinct ones).

The product of its digits is 75600, while the sum is 37.

The square root of 6725656 is about 2593.3869745952. The cubic root of 6725656 is about 188.7606873764.

It can be divided in two parts, 6725 and 656, that added together give a triangular number (7381 = T₁₂₁).

The spelling of 6725656 in words is "six million, seven hundred twenty-five thousand, six hundred fifty-six".