58720 has 24 divisors (see below), whose sum is σ = 139104. Its totient is φ = 23424.

The previous prime is 58711. The next prime is 58727. The reversal of 58720 is 2785.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 58691 and 58700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58727) 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 3 ways as a sum of consecutive naturals, for example, 24 + ... + 343.

It is an arithmetic number, because the mean of its divisors is an integer number (5796).

2⁵⁸⁷²⁰ 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 58720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69552).

58720 is an abundant number, since it is smaller than the sum of its proper divisors (80384).

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

58720 is a wasteful number, since it uses less digits than its factorization.

58720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 58720 is about 242.3220996938. The cubic root of 58720 is about 38.8682823558.

The spelling of 58720 in words is "fifty-eight thousand, seven hundred twenty".