726084 has 48 divisors (see below), whose sum is σ = 1928640. Its totient is φ = 239112.

The previous prime is 726071. The next prime is 726091. The reversal of 726084 is 480627.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 726084.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 8707 + ... + 8789.

It is an arithmetic number, because the mean of its divisors is an integer number (40180).

2⁷²⁶⁰⁸⁴ 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 726084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964320).

726084 is an abundant number, since it is smaller than the sum of its proper divisors (1202556).

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

726084 is an equidigital number, since it uses as much as digits as its factorization.

726084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 726084 is about 852.1056272552. The cubic root of 726084 is about 89.8798396435.

The spelling of 726084 in words is "seven hundred twenty-six thousand, eighty-four".