58764672 has 96 divisors (see below), whose sum is σ = 175032000. Its totient is φ = 18902016.

The previous prime is 58764661. The next prime is 58764677. The reversal of 58764672 is 27646785.

58764672 is a `hidden beast` number, since 587 + 6 + 4 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58764677) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32529 + ... + 34287.

It is an arithmetic number, because the mean of its divisors is an integer number (1823250).

Almost surely, 2^58764672 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 58764672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87516000).

58764672 is an abundant number, since it is smaller than the sum of its proper divisors (116267328).

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

58764672 is a wasteful number, since it uses less digits than its factorization.

58764672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1793 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 58764672 is about 7665.8118943788. The cubic root of 58764672 is about 388.7813637361.

The spelling of 58764672 in words is "fifty-eight million, seven hundred sixty-four thousand, six hundred seventy-two".