730032 has 40 divisors (see below), whose sum is σ = 1922496. Its totient is φ = 238656.

The previous prime is 730021. The next prime is 730033. The reversal of 730032 is 230037.

It is a junction number, because it is equal to n+sod(n) for n = 729993 and 730020.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 730032.

It is not an unprimeable number, because it can be changed into a prime (730033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3103 + ... + 3329.

2⁷³⁰⁰³² 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 730032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961248).

730032 is an abundant number, since it is smaller than the sum of its proper divisors (1192464).

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

730032 is a wasteful number, since it uses less digits than its factorization.

730032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 15.

The square root of 730032 is about 854.4191009101. The cubic root of 730032 is about 90.0424491112.

Adding to 730032 its reverse (230037), we get a palindrome (960069).

The spelling of 730032 in words is "seven hundred thirty thousand, thirty-two".