726726 has 64 divisors (see below), whose sum is σ = 1967616. Its totient is φ = 174240.

The previous prime is 726707. The next prime is 726751. The reversal of 726726 is 627627.

726726 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (7056) is a multiple of the sum of its prime divisors (36).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 726693 and 726702.

It is a congruent number.

It is an unprimeable number.

726726 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 31 ways as a sum of consecutive naturals, for example, 55896 + ... + 55908.

It is an arithmetic number, because the mean of its divisors is an integer number (30744).

2⁷²⁶⁷²⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 726726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983808).

726726 is an abundant number, since it is smaller than the sum of its proper divisors (1240890).

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

726726 is a wasteful number, since it uses less digits than its factorization.

726726 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 36 counting only the distinct ones).

The product of its digits is 7056, while the sum is 30.

The square root of 726726 is about 852.4822578799. The cubic root of 726726 is about 89.9063222812.

Subtracting from 726726 its reverse (627627), we obtain a palindrome (99099).

The spelling of 726726 in words is "seven hundred twenty-six thousand, seven hundred twenty-six".