4752 has 40 divisors (see below), whose sum is σ = 14880. Its totient is φ = 1440.

The previous prime is 4751. The next prime is 4759. The reversal of 4752 is 2574.

It can be divided in two parts, 47 and 52, that added together give a palindrome (99).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

4752 is a Rhonda number in base 10.

Its product of digits (280) is a multiple of the sum of its prime factors (28).

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 4752.

It is not an unprimeable number, because it can be changed into a prime (4751) 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, 427 + ... + 437.

It is an arithmetic number, because the mean of its divisors is an integer number (372).

2^{4752} 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 4752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7440).

4752 is an abundant number, since it is smaller than the sum of its proper divisors (10128).

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

4752 is a wasteful number, since it uses less digits than its factorization.

4752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28 (or 16 counting only the distinct ones).

The product of its digits is 280, while the sum is 18.

The square root of 4752 is about 68.9347517585. The cubic root of 4752 is about 16.8122359839.

The spelling of 4752 in words is "four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752

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