6725268 has 144 divisors (see below), whose sum is σ = 20913984. Its totient is φ = 1866240.

The previous prime is 6725261. The next prime is 6725273. The reversal of 6725268 is 8625276.

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

It is an Ulam number.

Its product of digits (40320) is a multiple of the sum of its prime divisors (70).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6725261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181746 + ... + 181782.

It is an arithmetic number, because the mean of its divisors is an integer number (145236).

Almost surely, 2^6725268 is an apocalyptic number.

6725268 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6725268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10456992).

6725268 is an abundant number, since it is smaller than the sum of its proper divisors (14188716).

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

6725268 is a wasteful number, since it uses less digits than its factorization.

6725268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 70 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 6725268 is about 2593.3121678656. The cubic root of 6725268 is about 188.7570574675.

The spelling of 6725268 in words is "six million, seven hundred twenty-five thousand, two hundred sixty-eight".