739728 has 60 divisors (see below), whose sum is σ = 2263248. Its totient is φ = 223680.

The previous prime is 739723. The next prime is 739751. The reversal of 739728 is 827937.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 739692 and 739701.

It is not an unprimeable number, because it can be changed into a prime (739723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1351 + ... + 1817.

2⁷³⁹⁷²⁸ 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 739728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131624).

739728 is an abundant number, since it is smaller than the sum of its proper divisors (1523520).

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

739728 is a wasteful number, since it uses less digits than its factorization.

739728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 483 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 739728 is about 860.0744153851. The cubic root of 739728 is about 90.4393333938.

Subtracting 739728 from its reverse (827937), we obtain a square (88209 = 297²).

It can be divided in two parts, 73 and 9728, that added together give a square (9801 = 99²).

The spelling of 739728 in words is "seven hundred thirty-nine thousand, seven hundred twenty-eight".