726384 has 40 divisors (see below), whose sum is σ = 1931920. Its totient is φ = 235008.

The previous prime is 726379. The next prime is 726391. The reversal of 726384 is 483627.

It is a congruent number.

It is an unprimeable number.

726384 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 7 ways as a sum of consecutive naturals, for example, 1572 + ... + 1980.

It is an arithmetic number, because the mean of its divisors is an integer number (48298).

2⁷²⁶³⁸⁴ is an apocalyptic number.

726384 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 726384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965960).

726384 is an abundant number, since it is smaller than the sum of its proper divisors (1205536).

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

726384 is a wasteful number, since it uses less digits than its factorization.

726384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 451 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 726384 is about 852.2816435897. The cubic root of 726384 is about 89.8922166500.

It can be divided in two parts, 726 and 384, that multiplied together give a square (278784 = 528²).

The spelling of 726384 in words is "seven hundred twenty-six thousand, three hundred eighty-four".