58545072 has 80 divisors (see below), whose sum is σ = 171283680. Its totient is φ = 19139328.

The previous prime is 58545049. The next prime is 58545073. The reversal of 58545072 is 27054585.

It is a happy number.

58545072 is a `hidden beast` number, since 585 + 4 + 5 + 0 + 72 = 666.

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 not an unprimeable number, because it can be changed into a prime (58545073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21618 + ... + 24174.

It is an arithmetic number, because the mean of its divisors is an integer number (2141046).

Almost surely, 2^58545072 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 58545072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85641840).

58545072 is an abundant number, since it is smaller than the sum of its proper divisors (112738608).

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

58545072 is a wasteful number, since it uses less digits than its factorization.

58545072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2627 (or 2615 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 58545072 is about 7651.4751518906. The cubic root of 58545072 is about 388.2964751418.

The spelling of 58545072 in words is "fifty-eight million, five hundred forty-five thousand, seventy-two".