58123200 has 84 divisors (see below), whose sum is σ = 190708280. Its totient is φ = 15498240.

The previous prime is 58123193. The next prime is 58123207. The reversal of 58123200 is 232185.

It is an interprime number because it is at equal distance from previous prime (58123193) and next prime (58123207).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58123207) 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, 1255 + ... + 10854.

Almost surely, 2^58123200 is an apocalyptic number.

58123200 is a gapful number since it is divisible by the number (50) 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 58123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95354140).

58123200 is an abundant number, since it is smaller than the sum of its proper divisors (132585080).

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

58123200 is a wasteful number, since it uses less digits than its factorization.

58123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12134 (or 12119 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 58123200 is about 7623.8572914241. The cubic root of 58123200 is about 387.3615460964.

Adding to 58123200 its reverse (232185), we get a palindrome (58355385).

The spelling of 58123200 in words is "fifty-eight million, one hundred twenty-three thousand, two hundred".