58113072 has 160 divisors (see below), whose sum is σ = 181863360. Its totient is φ = 17694720.

The previous prime is 58113059. The next prime is 58113073. The reversal of 58113072 is 27031185.

58113072 is a `hidden beast` number, since 581 + 13 + 0 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58113073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301008 + ... + 301200.

It is an arithmetic number, because the mean of its divisors is an integer number (1136646).

Almost surely, 2^58113072 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 58113072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90931680).

58113072 is an abundant number, since it is smaller than the sum of its proper divisors (123750288).

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

58113072 is a wasteful number, since it uses less digits than its factorization.

58113072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 58113072 is about 7623.1930317945. The cubic root of 58113072 is about 387.3390454677.

The spelling of 58113072 in words is "fifty-eight million, one hundred thirteen thousand, seventy-two".