58755072 has 96 divisors (see below), whose sum is σ = 159999840. Its totient is φ = 19169280.

The previous prime is 58755061. The next prime is 58755101. The reversal of 58755072 is 27055785.

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

It is a self number, because there is not a number n which added to its sum of digits gives 58755072.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 448447 + ... + 448577.

It is an arithmetic number, because the mean of its divisors is an integer number (1666665).

Almost surely, 2^58755072 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 58755072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79999920).

58755072 is an abundant number, since it is smaller than the sum of its proper divisors (101244768).

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

58755072 is a wasteful number, since it uses less digits than its factorization.

58755072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 98000, while the sum is 39.

The square root of 58755072 is about 7665.1857120359. The cubic root of 58755072 is about 388.7601916939.

The spelling of 58755072 in words is "fifty-eight million, seven hundred fifty-five thousand, seventy-two".