19972000 has 48 divisors (see below), whose sum is σ = 49081032. Its totient is φ = 7987200.

The previous prime is 19971989. The next prime is 19972003. The reversal of 19972000 is 27991.

It can be written as a sum of positive squares in 4 ways, for example, as 4511376 + 15460624 = 2124^2 + 3932^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 19972000.

It is not an unprimeable number, because it can be changed into a prime (19972003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1504 + ... + 6496.

Almost surely, 2^19972000 is an apocalyptic number.

19972000 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 19972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24540516).

19972000 is an abundant number, since it is smaller than the sum of its proper divisors (29109032).

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

19972000 is an equidigital number, since it uses as much as digits as its factorization.

19972000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5018 (or 5000 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 28.

The square root of 19972000 is about 4469.0043633901. The cubic root of 19972000 is about 271.3150296774.

Adding to 19972000 its reverse (27991), we get a palindrome (19999991).

The spelling of 19972000 in words is "nineteen million, nine hundred seventy-two thousand".