743328 has 72 divisors (see below), whose sum is σ = 2211300. Its totient is φ = 236544.

The previous prime is 743321. The next prime is 743333. The reversal of 743328 is 823347.

743328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 725904 + 17424 = 852^2 + 132^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 743328.

It is not an unprimeable number, because it can be changed into a prime (743321) by changing a digit.

743328 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 11 ways as a sum of consecutive naturals, for example, 8308 + ... + 8396.

2⁷⁴³³²⁸ 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 743328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105650).

743328 is an abundant number, since it is smaller than the sum of its proper divisors (1467972).

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

743328 is a wasteful number, since it uses less digits than its factorization.

743328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 123 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 743328 is about 862.1647174409. The cubic root of 743328 is about 90.5858083410.

The spelling of 743328 in words is "seven hundred forty-three thousand, three hundred twenty-eight".