4210752 has 112 divisors (see below), whose sum is σ = 13768832. Its totient is φ = 1105920.

The previous prime is 4210721. The next prime is 4210763. The reversal of 4210752 is 2570124.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an Ulam number.

4210752 is an undulating number in base 16.

It is an unprimeable 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 in 15 ways as a sum of consecutive naturals, for example, 17352 + ... + 17592.

It is an arithmetic number, because the mean of its divisors is an integer number (122936).

Almost surely, 2^4210752 is an apocalyptic number.

4210752 is a gapful number since it is divisible by the number (42) 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 4210752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6884416).

4210752 is an abundant number, since it is smaller than the sum of its proper divisors (9558080).

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

4210752 is a wasteful number, since it uses less digits than its factorization.

4210752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 4210752 is about 2052.0116958731. The cubic root of 4210752 is about 161.4804265274.

Adding to 4210752 its reverse (2570124), we get a palindrome (6780876).

It can be divided in two parts, 42 and 10752, that multiplied together give a square (451584 = 672²).

The spelling of 4210752 in words is "four million, two hundred ten thousand, seven hundred fifty-two".