19725200 has 60 divisors (see below), whose sum is σ = 51709488. Its totient is φ = 7171200.

The previous prime is 19725197. The next prime is 19725203. The reversal of 19725200 is 252791.

It is an interprime number because it is at equal distance from previous prime (19725197) and next prime (19725203).

It is a self number, because there is not a number n which added to its sum of digits gives 19725200.

It is not an unprimeable number, because it can be changed into a prime (19725203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2159 + ... + 6641.

Almost surely, 2^19725200 is an apocalyptic number.

19725200 is a gapful number since it is divisible by the number (10) 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 19725200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25854744).

19725200 is an abundant number, since it is smaller than the sum of its proper divisors (31984288).

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

19725200 is a wasteful number, since it uses less digits than its factorization.

19725200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4512 (or 4501 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 19725200 is about 4441.3061141966. The cubic root of 19725200 is about 270.1928206547.

Adding to 19725200 its reverse (252791), we get a palindrome (19977991).

The spelling of 19725200 in words is "nineteen million, seven hundred twenty-five thousand, two hundred".