4672 has 14 divisors (see below), whose sum is σ = 9398. Its totient is φ = 2304.

The previous prime is 4663. The next prime is 4673. The reversal of 4672 is 2764.

It can be written as a sum of positive squares in only one way, i.e., 4096 + 576 = 64^2 + 24^2 .

It is a plaindrome in base 6 and base 11.

It is a nialpdrome in base 8.

It is a zygodrome in base 6 and base 8.

It is not an unprimeable number, because it can be changed into a prime (4673) by changing a digit.

4672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 28 + ... + 100.

2⁴⁶⁷² 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 4672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4699).

4672 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

4672 is an equidigital number, since it uses as much as digits as its factorization.

4672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 75 counting only the distinct ones).

The product of its digits is 336, while the sum is 19.

The square root of 4672 is about 68.3520299625. The cubic root of 4672 is about 16.7173567855.

It can be divided in two parts, 4 and 672, that added together give a palindrome (676).

The spelling of 4672 in words is "four thousand, six hundred seventy-two".