34752 has 28 divisors (see below), whose sum is σ = 92456. Its totient is φ = 11520.

The previous prime is 34747. The next prime is 34757. The reversal of 34752 is 25743.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34747) and next prime (34757).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34757) by changing a digit.

34752 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 102 + ... + 282.

It is an arithmetic number, because the mean of its divisors is an integer number (3302).

2³⁴⁷⁵² is an apocalyptic number.

34752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46228).

34752 is an abundant number, since it is smaller than the sum of its proper divisors (57704).

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

34752 is a wasteful number, since it uses less digits than its factorization.

34752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 186 counting only the distinct ones).

The product of its digits is 840, while the sum is 21.

The square root of 34752 is about 186.4188831637. The cubic root of 34752 is about 32.6332204297.

Subtracting from 34752 its reverse (25743), we obtain a palindrome (9009).

The spelling of 34752 in words is "thirty-four thousand, seven hundred fifty-two".