713232 has 80 divisors (see below), whose sum is σ = 2222080. Its totient is φ = 217728.

The previous prime is 713227. The next prime is 713233. The reversal of 713232 is 232317.

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

It is not an unprimeable number, because it can be changed into a prime (713233) by changing a digit.

713232 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 15 ways as a sum of consecutive naturals, for example, 5553 + ... + 5679.

It is an arithmetic number, because the mean of its divisors is an integer number (27776).

2⁷¹³²³² is an apocalyptic number.

713232 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 713232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111040).

713232 is an abundant number, since it is smaller than the sum of its proper divisors (1508848).

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

713232 is a wasteful number, since it uses less digits than its factorization.

713232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 145 counting only the distinct ones).

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

The square root of 713232 is about 844.5306388758. The cubic root of 713232 is about 89.3463756607.

Adding to 713232 its reverse (232317), we get a palindrome (945549).

The spelling of 713232 in words is "seven hundred thirteen thousand, two hundred thirty-two".