4732224 has 84 divisors (see below), whose sum is σ = 14593824. Its totient is φ = 1349376.

The previous prime is 4732199. The next prime is 4732229. The reversal of 4732224 is 4222374.

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 (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 4732194 and 4732203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4732229) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 9157 + ... + 9659.

It is an arithmetic number, because the mean of its divisors is an integer number (173736).

Almost surely, 2^4732224 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 4732224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7296912).

4732224 is an abundant number, since it is smaller than the sum of its proper divisors (9861600).

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

4732224 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 11 representation: 4732224 = (2742432)₁₁.

4732224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 515 counting only the distinct ones).

The product of its digits is 2688, while the sum is 24.

The square root of 4732224 is about 2175.3675551502. The cubic root of 4732224 is about 167.8888153216. Note that the first 4 decimals are identical.

Adding to 4732224 its reverse (4222374), we get a palindrome (8954598).

The spelling of 4732224 in words is "four million, seven hundred thirty-two thousand, two hundred twenty-four".