58085472 has 48 divisors (see below), whose sum is σ = 153522432. Its totient is φ = 19228800.

The previous prime is 58085453. The next prime is 58085491. The reversal of 58085472 is 27458085.

It is an interprime number because it is at equal distance from previous prime (58085453) and next prime (58085491).

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 58085472.

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 7 ways as a sum of consecutive naturals, for example, 12493 + ... + 16499.

It is an arithmetic number, because the mean of its divisors is an integer number (3198384).

Almost surely, 2^58085472 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 58085472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76761216).

58085472 is an abundant number, since it is smaller than the sum of its proper divisors (95436960).

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

58085472 is a wasteful number, since it uses less digits than its factorization.

58085472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4171 (or 4163 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The square root of 58085472 is about 7621.3825517422. The cubic root of 58085472 is about 387.2777153161.

The spelling of 58085472 in words is "fifty-eight million, eighty-five thousand, four hundred seventy-two".