726848 has 28 divisors (see below), whose sum is σ = 1482852. Its totient is φ = 353280.

The previous prime is 726841. The next prime is 726853. The reversal of 726848 is 848627.

It can be written as a sum of positive squares in 2 ways, for example, as 73984 + 652864 = 272^2 + 808^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726841) by changing a digit.

726848 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2486 + ... + 2762.

It is an arithmetic number, because the mean of its divisors is an integer number (52959).

2⁷²⁶⁸⁴⁸ 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 726848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741426).

726848 is an abundant number, since it is smaller than the sum of its proper divisors (756004).

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

726848 is a wasteful number, since it uses less digits than its factorization.

726848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 320 counting only the distinct ones).

The product of its digits is 21504, while the sum is 35.

The square root of 726848 is about 852.5538106184. The cubic root of 726848 is about 89.9113530436.

The spelling of 726848 in words is "seven hundred twenty-six thousand, eight hundred forty-eight".