32752000 has 128 divisors (see below), whose sum is σ = 85924800. Its totient is φ = 12390400.

The previous prime is 32751959. The next prime is 32752003. The reversal of 32752000 is 25723.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32752003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367956 + ... + 368044.

Almost surely, 2^32752000 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 32752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42962400).

32752000 is an abundant number, since it is smaller than the sum of its proper divisors (53172800).

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

32752000 is an equidigital number, since it uses as much as digits as its factorization.

32752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 32752000 is about 5722.9363092734. The cubic root of 32752000 is about 319.9479081873.

Adding to 32752000 its reverse (25723), we get a palindrome (32777723).

The spelling of 32752000 in words is "thirty-two million, seven hundred fifty-two thousand".