58672 has 20 divisors (see below), whose sum is σ = 120280. Its totient is φ = 27648.

The previous prime is 58661. The next prime is 58679. The reversal of 58672 is 27685.

It is a nialpdrome in base 9 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 58672.

It is not an unprimeable number, because it can be changed into a prime (58679) by changing a digit.

58672 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 (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 208 + ... + 400.

It is an arithmetic number, because the mean of its divisors is an integer number (6014).

2⁵⁸⁶⁷² 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 58672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60140).

58672 is an abundant number, since it is smaller than the sum of its proper divisors (61608).

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

58672 is a wasteful number, since it uses less digits than its factorization.

58672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 214 counting only the distinct ones).

The product of its digits is 3360, while the sum is 28.

The square root of 58672 is about 242.2230377152. The cubic root of 58672 is about 38.8576886560.

The spelling of 58672 in words is "fifty-eight thousand, six hundred seventy-two".