58032 has 60 divisors (see below), whose sum is σ = 180544. Its totient is φ = 17280.

The previous prime is 58031. The next prime is 58043. The reversal of 58032 is 23085.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 9.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 57996 and 58014.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 58032.

It is not an unprimeable number, because it can be changed into a prime (58031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1857 + ... + 1887.

2⁵⁸⁰³² is an apocalyptic number.

58032 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 58032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90272).

58032 is an abundant number, since it is smaller than the sum of its proper divisors (122512).

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

58032 is a wasteful number, since it uses less digits than its factorization.

58032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 58032 is about 240.8983187986. The cubic root of 58032 is about 38.7158839511.

The spelling of 58032 in words is "fifty-eight thousand, thirty-two".