42752 has 18 divisors (see below), whose sum is σ = 85848. Its totient is φ = 21248.

The previous prime is 42751. The next prime is 42767. The reversal of 42752 is 25724.

It is a nialpdrome in base 16.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 42752.

It is not an unprimeable number, because it can be changed into a prime (42751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 173 + ... + 339.

2^{42752} 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 42752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42924).

42752 is an abundant number, since it is smaller than the sum of its proper divisors (43096).

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

42752 is an equidigital number, since it uses as much as digits as its factorization.

42752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 169 counting only the distinct ones).

The product of its digits is 560, while the sum is 20.

The square root of 42752 is about 206.7655677331. The cubic root of 42752 is about 34.9664985554.

The spelling of 42752 in words is "forty-two thousand, seven hundred fifty-two".

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