58479072 has 48 divisors (see below), whose sum is σ = 154288512. Its totient is φ = 19393920.

The previous prime is 58479067. The next prime is 58479077. The reversal of 58479072 is 27097485.

58479072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (58479067) and next prime (58479077).

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58479077) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 18813 + ... + 21699.

It is an arithmetic number, because the mean of its divisors is an integer number (3214344).

Almost surely, 2^58479072 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 58479072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77144256).

58479072 is an abundant number, since it is smaller than the sum of its proper divisors (95809440).

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

58479072 is a wasteful number, since it uses less digits than its factorization.

58479072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111 (or 3103 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 58479072 is about 7647.1610418508. The cubic root of 58479072 is about 388.1505066722.

The spelling of 58479072 in words is "fifty-eight million, four hundred seventy-nine thousand, seventy-two".