52032 has 28 divisors (see below), whose sum is σ = 138176. Its totient is φ = 17280.

The previous prime is 52027. The next prime is 52051. The reversal of 52032 is 23025.

52032 = T₁₀₃ + T₁₀₄ + ... + T₁₁₁.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 51999 and 52017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 57 + ... + 327.

2⁵²⁰³² 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 52032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69088).

52032 is an abundant number, since it is smaller than the sum of its proper divisors (86144).

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

52032 is a wasteful number, since it uses less digits than its factorization.

52032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 52032 is about 228.1052388701. The cubic root of 52032 is about 37.3327664313.

Adding to 52032 its reverse (23025), we get a palindrome (75057).

The spelling of 52032 in words is "fifty-two thousand, thirty-two", and thus it is an eban number.