58721200 has 60 divisors (see below), whose sum is σ = 143081368. Its totient is φ = 23155200.

The previous prime is 58721149. The next prime is 58721209. The reversal of 58721200 is 212785.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (58721209) 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, 28195 + ... + 30205.

Almost surely, 2^58721200 is an apocalyptic number.

58721200 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 58721200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71540684).

58721200 is an abundant number, since it is smaller than the sum of its proper divisors (84360168).

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

58721200 is a wasteful number, since it uses less digits than its factorization.

58721200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 58721200 is about 7662.9759232298. The cubic root of 58721200 is about 388.6854712427.

Adding to 58721200 its reverse (212785), we get a palindrome (58933985).

The spelling of 58721200 in words is "fifty-eight million, seven hundred twenty-one thousand, two hundred".