739328 has 36 divisors (see below), whose sum is σ = 1560195. Its totient is φ = 350208.

The previous prime is 739327. The next prime is 739331. The reversal of 739328 is 823937.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 369664 + 369664 = 608^2 + 608^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=608.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

Its product of digits (9072) is a multiple of the sum of its prime divisors (21).

It is a junction number, because it is equal to n+sod(n) for n = 739294 and 739303.

It is not an unprimeable number, because it can be changed into a prime (739327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 38903 + ... + 38921.

739328 is a Friedman number, since it can be written as 8*(33*9+7)^2, using all its digits and the basic arithmetic operations.

2⁷³⁹³²⁸ 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 739328

739328 is an abundant number, since it is smaller than the sum of its proper divisors (820867).

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

739328 is an equidigital number, since it uses as much as digits as its factorization.

739328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 21 counting only the distinct ones).

The product of its digits is 9072, while the sum is 32.

The square root of 739328 is about 859.8418459228. The cubic root of 739328 is about 90.4230290874.

Multiplying 739328 by its sum of digits (32), we get a square (23658496 = 4864²).

739328 divided by its sum of digits (32) gives a square (23104 = 152²).

The spelling of 739328 in words is "seven hundred thirty-nine thousand, three hundred twenty-eight".