58044672 has 216 divisors, whose sum is σ = 197695680. Its totient is φ = 16035840.

The previous prime is 58044661. The next prime is 58044673. The reversal of 58044672 is 27644085.

58044672 is a `hidden beast` number, since 580 + 4 + 4 + 6 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (58044673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 951522 + ... + 951582.

Almost surely, 2^58044672 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 58044672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98847840).

58044672 is an abundant number, since it is smaller than the sum of its proper divisors (139651008).

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

58044672 is a wasteful number, since it uses less digits than its factorization.

58044672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 58044672 is about 7618.7054018383. The cubic root of 58044672 is about 387.1870177557.

The spelling of 58044672 in words is "fifty-eight million, forty-four thousand, six hundred seventy-two".