58282272 has 72 divisors (see below), whose sum is σ = 174479760. Its totient is φ = 18403200.

The previous prime is 58282261. The next prime is 58282277. The reversal of 58282272 is 27228285.

58282272 is a `hidden beast` number, since 582 + 8 + 2 + 2 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 (58282277) 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 11 ways as a sum of consecutive naturals, for example, 147 + ... + 10797.

It is an arithmetic number, because the mean of its divisors is an integer number (2423330).

Almost surely, 2^58282272 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 58282272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87239880).

58282272 is an abundant number, since it is smaller than the sum of its proper divisors (116197488).

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

58282272 is a wasteful number, since it uses less digits than its factorization.

58282272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10686 (or 10675 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 58282272 is about 7634.2826775015. The cubic root of 58282272 is about 387.7146021832.

It can be divided in two parts, 5828 and 2272, that added together give a square (8100 = 90²).

The spelling of 58282272 in words is "fifty-eight million, two hundred eighty-two thousand, two hundred seventy-two".