58330272 has 192 divisors, whose sum is σ = 205922304. Its totient is φ = 13962240.

The previous prime is 58330201. The next prime is 58330273. The reversal of 58330272 is 27203385.

It is not an unprimeable number, because it can be changed into a prime (58330273) 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 31 ways as a sum of consecutive naturals, for example, 95793 + ... + 96399.

It is an arithmetic number, because the mean of its divisors is an integer number (1072512).

Almost surely, 2^58330272 is an apocalyptic number.

58330272 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58330272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102961152).

58330272 is an abundant number, since it is smaller than the sum of its proper divisors (147592032).

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

58330272 is a wasteful number, since it uses less digits than its factorization.

58330272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 58330272 is about 7637.4257443199. The cubic root of 58330272 is about 387.8210107222.

The spelling of 58330272 in words is "fifty-eight million, three hundred thirty thousand, two hundred seventy-two".