58005720 has 80 divisors (see below), whose sum is σ = 194974560. Its totient is φ = 15467328.

The previous prime is 58005707. The next prime is 58005721. The reversal of 58005720 is 2750085.

58005720 = T₂₂₅ + T₂₂₆ + ... + T₇₁₀.

It is a happy number.

58005720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58005721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5712 + ... + 12191.

It is an arithmetic number, because the mean of its divisors is an integer number (2437182).

Almost surely, 2^58005720 is an apocalyptic number.

It is an amenable number.

58005720 is an abundant number, since it is smaller than the sum of its proper divisors (136968840).

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

58005720 is a wasteful number, since it uses less digits than its factorization.

58005720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17926 (or 17913 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 58005720 is about 7616.1486330034. The cubic root of 58005720 is about 387.1003885953.

The spelling of 58005720 in words is "fifty-eight million, five thousand, seven hundred twenty".