58485672 has 128 divisors (see below), whose sum is σ = 189849600. Its totient is φ = 16334784.

The previous prime is 58485671. The next prime is 58485673. The reversal of 58485672 is 27658485.

58485672 is a `hidden beast` number, since 5 + 84 + 8 + 567 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (58485671) and next prime (58485673).

It is not an unprimeable number, because it can be changed into a prime (58485671) 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, 70653 + ... + 71475.

It is an arithmetic number, because the mean of its divisors is an integer number (1483200).

Almost surely, 2^58485672 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 58485672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94924800).

58485672 is an abundant number, since it is smaller than the sum of its proper divisors (131363928).

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

58485672 is a wasteful number, since it uses less digits than its factorization.

58485672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 882 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 58485672 is about 7647.5925623689. The cubic root of 58485672 is about 388.1651084598.

The spelling of 58485672 in words is "fifty-eight million, four hundred eighty-five thousand, six hundred seventy-two".