58002720 has 96 divisors (see below), whose sum is σ = 184161600. Its totient is φ = 15344640.

The previous prime is 58002719. The next prime is 58002731. The reversal of 58002720 is 2720085.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71115 + ... + 71925.

It is an arithmetic number, because the mean of its divisors is an integer number (1918350).

Almost surely, 2^58002720 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 58002720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92080800).

58002720 is an abundant number, since it is smaller than the sum of its proper divisors (126158880).

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

58002720 is a wasteful number, since it uses less digits than its factorization.

58002720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 58002720 is about 7615.9516805190. The cubic root of 58002720 is about 387.0937149937.

The spelling of 58002720 in words is "fifty-eight million, two thousand, seven hundred twenty".