4732 has 18 divisors (see below), whose sum is σ = 10248. Its totient is φ = 1872.

The previous prime is 4729. The next prime is 4733. The reversal of 4732 is 2374.

It is a super-3 number, since 3×4732^{3} = 317874333504, which contains 333 as substring.

It is an Ulam number.

It is a d-powerful number, because it can be written as **4**^{2} + **3**^{7} + **7**^{4} + **2**^{7} .

It is a plaindrome in base 16.

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4733) 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 5 ways as a sum of consecutive naturals, for example, 358 + ... + 370.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5124).

4732 is an abundant number, since it is smaller than the sum of its proper divisors (5516).

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

4732 is a wasteful number, since it uses less digits than its factorization.

4732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 22 counting only the distinct ones).

The product of its digits is 168, while the sum is 16.

The square root of 4732 is about 68.7895340877. The cubic root of 4732 is about 16.7886166272.

Adding to 4732 its product of digits (168), we get a square (4900 = 70^{2}).

It can be divided in two parts, 473 and 2, that multiplied together give a triangular number (946 = T_{43}).

The spelling of 4732 in words is "four thousand, seven hundred thirty-two".

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