58003072 has 32 divisors (see below), whose sum is σ = 116059680. Its totient is φ = 28874496.

The previous prime is 58003063. The next prime is 58003073. The reversal of 58003072 is 27030085.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×58003072² = 6728712722874368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (58003073) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 32803 + ... + 34525.

It is an arithmetic number, because the mean of its divisors is an integer number (3626865).

Almost surely, 2^58003072 is an apocalyptic number.

It is an amenable number.

58003072 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

58003072 is a wasteful number, since it uses less digits than its factorization.

58003072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 1988 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 58003072 is about 7615.9747898742. The cubic root of 58003072 is about 387.0944980416.

The spelling of 58003072 in words is "fifty-eight million, three thousand, seventy-two".