19725000 has 96 divisors (see below), whose sum is σ = 61871040. Its totient is φ = 5240000.

The previous prime is 19724993. The next prime is 19725011. The reversal of 19725000 is 52791.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 74869 + ... + 75131.

It is an arithmetic number, because the mean of its divisors is an integer number (644490).

Almost surely, 2^19725000 is an apocalyptic number.

19725000 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 19725000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30935520).

19725000 is an abundant number, since it is smaller than the sum of its proper divisors (42146040).

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

19725000 is an equidigital number, since it uses as much as digits as its factorization.

19725000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 19725000 is about 4441.2835982405. The cubic root of 19725000 is about 270.1919074617.

Adding to 19725000 its reverse (52791), we get a palindrome (19777791).

The spelling of 19725000 in words is "nineteen million, seven hundred twenty-five thousand".