50752 has 28 divisors (see below), whose sum is σ = 110236. Its totient is φ = 23040.

The previous prime is 50741. The next prime is 50753. The reversal of 50752 is 25705.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4096 + 46656 = 64^2 + 216^2 .

It is a nialpdrome in base 9 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50753) by changing a digit.

50752 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 in 3 ways as a sum of consecutive naturals, for example, 802 + ... + 862.

It is an arithmetic number, because the mean of its divisors is an integer number (3937).

2⁵⁰⁷⁵² is an apocalyptic number.

50752 is a gapful number since it is divisible by the number (52) 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 50752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55118).

50752 is an abundant number, since it is smaller than the sum of its proper divisors (59484).

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

50752 is a wasteful number, since it uses less digits than its factorization.

50752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 19.

The square root of 50752 is about 225.2820454453. The cubic root of 50752 is about 37.0240894990.

The spelling of 50752 in words is "fifty thousand, seven hundred fifty-two".