6725600 has 72 divisors (see below), whose sum is σ = 18780048. Its totient is φ = 2304000.

The previous prime is 6725597. The next prime is 6725611. The reversal of 6725600 is 65276.

It is a nialpdrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 6725600.

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 11 ways as a sum of consecutive naturals, for example, 5000 + ... + 6200.

It is an arithmetic number, because the mean of its divisors is an integer number (260834).

Almost surely, 2^6725600 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 6725600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9390024).

6725600 is an abundant number, since it is smaller than the sum of its proper divisors (12054448).

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

6725600 is a wasteful number, since it uses less digits than its factorization.

6725600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 6725600 is about 2593.3761778809. The cubic root of 6725600 is about 188.7601634806.

The spelling of 6725600 in words is "six million, seven hundred twenty-five thousand, six hundred".