58072320 has 162 divisors, whose sum is σ = 203793954. Its totient is φ = 15267840.

The previous prime is 58072291. The next prime is 58072321. The reversal of 58072320 is 2327085.

It can be written as a sum of positive squares in only one way, i.e., 46457856 + 11614464 = 6816^2 + 3408^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58072321) 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 17 ways as a sum of consecutive naturals, for example, 817885 + ... + 817955.

Almost surely, 2^58072320 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 58072320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101896977).

58072320 is an abundant number, since it is smaller than the sum of its proper divisors (145721634).

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

58072320 is an equidigital number, since it uses as much as digits as its factorization.

58072320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 58072320 is about 7620.5196673193. The cubic root of 58072320 is about 387.2484833308.

It can be divided in two parts, 580 and 72320, that added together give a square (72900 = 270²).

The spelling of 58072320 in words is "fifty-eight million, seventy-two thousand, three hundred twenty".