58072 has 32 divisors (see below), whose sum is σ = 133920. Its totient is φ = 23040.

The previous prime is 58067. The next prime is 58073. The reversal of 58072 is 27085.

58072 is nontrivially palindromic in base 11.

58072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58073) by changing a digit.

58072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 922 + ... + 982.

It is an arithmetic number, because the mean of its divisors is an integer number (4185).

2⁵⁸⁰⁷² 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 58072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66960).

58072 is an abundant number, since it is smaller than the sum of its proper divisors (75848).

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

58072 is a wasteful number, since it uses less digits than its factorization.

58072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 87 counting only the distinct ones).

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

The square root of 58072 is about 240.9813270774. The cubic root of 58072 is about 38.7247772035.

The spelling of 58072 in words is "fifty-eight thousand, seventy-two".