727832 has 32 divisors (see below), whose sum is σ = 1602720. Its totient is φ = 303360.

The previous prime is 727823. The next prime is 727843. The reversal of 727832 is 238727.

727832 is nontrivially palindromic in base 6.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

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 = 727795 and 727804.

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 727832.

It is an unprimeable number.

727832 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 7 ways as a sum of consecutive naturals, for example, 2138 + ... + 2454.

It is an arithmetic number, because the mean of its divisors is an integer number (50085).

2⁷²⁷⁸³² 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 727832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801360).

727832 is an abundant number, since it is smaller than the sum of its proper divisors (874888).

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

727832 is a wasteful number, since it uses less digits than its factorization.

727832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 367 counting only the distinct ones).

The product of its digits is 4704, while the sum is 29.

The square root of 727832 is about 853.1307051091. The cubic root of 727832 is about 89.9519084632.

The spelling of 727832 in words is "seven hundred twenty-seven thousand, eight hundred thirty-two".