58071720 has 128 divisors (see below), whose sum is σ = 200620800. Its totient is φ = 13172736.

The previous prime is 58071691. The next prime is 58071737. The reversal of 58071720 is 2717085.

It is a happy number.

58071720 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 (30).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 215746 + ... + 216014.

It is an arithmetic number, because the mean of its divisors is an integer number (1567350).

Almost surely, 2^58071720 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 58071720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100310400).

58071720 is an abundant number, since it is smaller than the sum of its proper divisors (142549080).

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

58071720 is a wasteful number, since it uses less digits than its factorization.

58071720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 58071720 is about 7620.4802998236. The cubic root of 58071720 is about 387.2471496496.

The spelling of 58071720 in words is "fifty-eight million, seventy-one thousand, seven hundred twenty".