32752120 has 64 divisors (see below), whose sum is σ = 77495040. Its totient is φ = 12441600.

The previous prime is 32752117. The next prime is 32752129. The reversal of 32752120 is 2125723.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 32752091 and 32752100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32752129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75424 + ... + 75856.

It is an arithmetic number, because the mean of its divisors is an integer number (1210860).

Almost surely, 2^32752120 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 32752120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38747520).

32752120 is an abundant number, since it is smaller than the sum of its proper divisors (44742920).

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

32752120 is a wasteful number, since it uses less digits than its factorization.

32752120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 32752120 is about 5722.9467933924. The cubic root of 32752120 is about 319.9482989390.

Adding to 32752120 its reverse (2125723), we get a palindrome (34877843).

The spelling of 32752120 in words is "thirty-two million, seven hundred fifty-two thousand, one hundred twenty".