743232 has 84 divisors (see below), whose sum is σ = 2316480. Its totient is φ = 209664.

The previous prime is 743221. The next prime is 743251. The reversal of 743232 is 232347.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

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 = 743199 and 743208.

It is a congruent number.

It is an unprimeable number.

743232 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 11 ways as a sum of consecutive naturals, for example, 9369 + ... + 9447.

2⁷⁴³²³² 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 743232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158240).

743232 is an abundant number, since it is smaller than the sum of its proper divisors (1573248).

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

743232 is a wasteful number, since it uses less digits than its factorization.

743232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 91 counting only the distinct ones).

The product of its digits is 1008, while the sum is 21.

The square root of 743232 is about 862.1090418271. The cubic root of 743232 is about 90.5819084870.

Adding to 743232 its reverse (232347), we get a palindrome (975579).

The spelling of 743232 in words is "seven hundred forty-three thousand, two hundred thirty-two".