7228032 has 64 divisors (see below), whose sum is σ = 21950400. Its totient is φ = 2064384.

The previous prime is 7228021. The next prime is 7228033. The reversal of 7228032 is 2308227.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 7227993 and 7228011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7228033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1344 + ... + 4032.

It is an arithmetic number, because the mean of its divisors is an integer number (342975).

Almost surely, 2^7228032 is an apocalyptic number.

It is a pronic number, being equal to 2688×2689.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7228032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10975200).

7228032 is an abundant number, since it is smaller than the sum of its proper divisors (14722368).

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

7228032 is a wasteful number, since it uses less digits than its factorization.

7228032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2713 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 7228032 is about 2688.4999535057. The cubic root of 7228032 is about 193.3481505357.

The spelling of 7228032 in words is "seven million, two hundred twenty-eight thousand, thirty-two".