58527072 has 72 divisors (see below), whose sum is σ = 168137424. Its totient is φ = 19309824.

The previous prime is 58527067. The next prime is 58527103. The reversal of 58527072 is 27072585.

58527072 is a `hidden beast` number, since 585 + 2 + 7 + 0 + 72 = 666.

58527072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 28678 + ... + 30650.

It is an arithmetic number, because the mean of its divisors is an integer number (2335242).

Almost surely, 2^58527072 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 58527072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84068712).

58527072 is an abundant number, since it is smaller than the sum of its proper divisors (109610352).

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

58527072 is a wasteful number, since it uses less digits than its factorization.

58527072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 58527072 is about 7650.2988176933. The cubic root of 58527072 is about 388.2566764435.

The spelling of 58527072 in words is "fifty-eight million, five hundred twenty-seven thousand, seventy-two".