7283232 has 144 divisors (see below), whose sum is σ = 23980320. Its totient is φ = 2090880.

The previous prime is 7283231. The next prime is 7283257. The reversal of 7283232 is 2323827.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 7283196 and 7283205.

It is not an unprimeable number, because it can be changed into a prime (7283231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 383319 + ... + 383337.

It is an arithmetic number, because the mean of its divisors is an integer number (166530).

Almost surely, 2^7283232 is an apocalyptic number.

7283232 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 7283232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11990160).

7283232 is an abundant number, since it is smaller than the sum of its proper divisors (16697088).

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

7283232 is a wasteful number, since it uses less digits than its factorization.

7283232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 35 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 7283232 is about 2698.7463756344. The cubic root of 7283232 is about 193.8390985280.

It can be divided in two parts, 72 and 83232, that multiplied together give a square (5992704 = 2448²).

The spelling of 7283232 in words is "seven million, two hundred eighty-three thousand, two hundred thirty-two".