18972000 has 288 divisors, whose sum is σ = 73592064. Its totient is φ = 4608000.

The previous prime is 18971993. The next prime is 18972001. The reversal of 18972000 is 27981.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18972001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 611985 + ... + 612015.

It is an arithmetic number, because the mean of its divisors is an integer number (255528).

Almost surely, 2^18972000 is an apocalyptic number.

18972000 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 18972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36796032).

18972000 is an abundant number, since it is smaller than the sum of its proper divisors (54620064).

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

18972000 is a wasteful number, since it uses less digits than its factorization.

18972000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 18972000 is about 4355.6859390916. The cubic root of 18972000 is about 266.7090210503.

Adding to 18972000 its reverse (27981), we get a palindrome (18999981).

The spelling of 18972000 in words is "eighteen million, nine hundred seventy-two thousand".