712632 has 32 divisors (see below), whose sum is σ = 1860480. Its totient is φ = 227040.

The previous prime is 712631. The next prime is 712651. The reversal of 712632 is 236217.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 712599 and 712608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94 + ... + 1197.

It is an arithmetic number, because the mean of its divisors is an integer number (58140).

2⁷¹²⁶³² 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 712632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930240).

712632 is an abundant number, since it is smaller than the sum of its proper divisors (1147848).

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

712632 is a wasteful number, since it uses less digits than its factorization.

712632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1319 counting only the distinct ones).

The product of its digits is 504, while the sum is 21.

The square root of 712632 is about 844.1753372375. The cubic root of 712632 is about 89.3213146872.

Adding to 712632 its reverse (236217), we get a palindrome (948849).

The spelling of 712632 in words is "seven hundred twelve thousand, six hundred thirty-two".