726336 has 84 divisors (see below), whose sum is σ = 2265172. Its totient is φ = 221184.

The previous prime is 726331. The next prime is 726337. The reversal of 726336 is 633627.

It can be written as a sum of positive squares in 2 ways, for example, as 207936 + 518400 = 456^2 + 720^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726331) by changing a digit.

726336 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7440 + ... + 7536.

2⁷²⁶³³⁶ 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 726336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1132586).

726336 is an abundant number, since it is smaller than the sum of its proper divisors (1538836).

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

726336 is a wasteful number, since it uses less digits than its factorization.

726336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 115 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 726336 is about 852.2534834191. The cubic root of 726336 is about 89.8902365580.

The spelling of 726336 in words is "seven hundred twenty-six thousand, three hundred thirty-six".