712332 has 36 divisors (see below), whose sum is σ = 1843296. Its totient is φ = 231840.

The previous prime is 712331. The next prime is 712339. The reversal of 712332 is 233217.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 7⁵ + 1 + 3⁵ + 2¹⁵ + 3¹² + 2¹⁷ .

It is not an unprimeable number, because it can be changed into a prime (712331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1482 + ... + 1902.

2⁷¹²³³² 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 712332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921648).

712332 is an abundant number, since it is smaller than the sum of its proper divisors (1130964).

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

712332 is a wasteful number, since it uses less digits than its factorization.

712332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 473 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 712332 is about 843.9976303284. The cubic root of 712332 is about 89.3087789251.

Adding to 712332 its reverse (233217), we get a palindrome (945549).

The spelling of 712332 in words is "seven hundred twelve thousand, three hundred thirty-two".