18752000 has 80 divisors (see below), whose sum is σ = 46918872. Its totient is φ = 7475200.

The previous prime is 18751991. The next prime is 18752039. The reversal of 18752000 is 25781.

It can be written as a sum of positive squares in 4 ways, for example, as 10549504 + 8202496 = 3248^2 + 2864^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63854 + ... + 64146.

Almost surely, 2^18752000 is an apocalyptic number.

18752000 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 18752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23459436).

18752000 is an abundant number, since it is smaller than the sum of its proper divisors (28166872).

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

18752000 is an frugal number, since it uses more digits than its factorization.

18752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 18752000 is about 4330.3579528718. The cubic root of 18752000 is about 265.6740878138.

Adding to 18752000 its reverse (25781), we get a palindrome (18777781).

The spelling of 18752000 in words is "eighteen million, seven hundred fifty-two thousand".