765232 has 30 divisors (see below), whose sum is σ = 1611132. Its totient is φ = 351936.

The previous prime is 765229. The next prime is 765241. The reversal of 765232 is 232567.

765232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 765197 and 765206.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2563 + ... + 2845.

2⁷⁶⁵²³² 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 765232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805566).

765232 is an abundant number, since it is smaller than the sum of its proper divisors (845900).

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

765232 is a wasteful number, since it uses less digits than its factorization.

765232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 298 counting only the distinct ones).

The product of its digits is 2520, while the sum is 25.

The square root of 765232 is about 874.7753997456. The cubic root of 765232 is about 91.4669872047.

Adding to 765232 its reverse (232567), we get a palindrome (997799).

The spelling of 765232 in words is "seven hundred sixty-five thousand, two hundred thirty-two".