726920 has 32 divisors (see below), whose sum is σ = 1733400. Its totient is φ = 273408.

The previous prime is 726917. The next prime is 726923. The reversal of 726920 is 29627.

It is an interprime number because it is at equal distance from previous prime (726917) and next prime (726923).

It can be written as a sum of positive squares in 4 ways, for example, as 649636 + 77284 = 806^2 + 278^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 726920.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 726920.

It is not an unprimeable number, because it can be changed into a prime (726923) 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, 146 + ... + 1214.

2⁷²⁶⁹²⁰ 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 726920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866700).

726920 is an abundant number, since it is smaller than the sum of its proper divisors (1006480).

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

726920 is a wasteful number, since it uses less digits than its factorization.

726920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 726920 is about 852.5960356464. The cubic root of 726920 is about 89.9143217540.

The spelling of 726920 in words is "seven hundred twenty-six thousand, nine hundred twenty".