727232 has 28 divisors (see below), whose sum is σ = 1575816. Its totient is φ = 330240.

The previous prime is 727211. The next prime is 727241. The reversal of 727232 is 232727.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 727198 and 727207.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 727232.

It is an unprimeable number.

727232 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 188 + ... + 1220.

2⁷²⁷²³² 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 727232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787908).

727232 is an abundant number, since it is smaller than the sum of its proper divisors (848584).

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

727232 is a wasteful number, since it uses less digits than its factorization.

727232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1046 counting only the distinct ones).

The product of its digits is 1176, while the sum is 23.

The square root of 727232 is about 852.7789866079. The cubic root of 727232 is about 89.9271839011.

Adding to 727232 its reverse (232727), we get a palindrome (959959).

It can be divided in two parts, 727 and 232, that added together give a palindrome (959).

The spelling of 727232 in words is "seven hundred twenty-seven thousand, two hundred thirty-two".