18753372 has 144 divisors (see below), whose sum is σ = 56609280. Its totient is φ = 5174400.

The previous prime is 18753347. The next prime is 18753379. The reversal of 18753372 is 27335781.

It is a super-2 number, since 2×18753372² = 703377922740768, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (35280) is a multiple of the sum of its prime factors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18753379) 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 47 ways as a sum of consecutive naturals, for example, 264097 + ... + 264167.

It is an arithmetic number, because the mean of its divisors is an integer number (393120).

Almost surely, 2^18753372 is an apocalyptic number.

18753372 is a gapful number since it is divisible by the number (12) 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 18753372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28304640).

18753372 is an abundant number, since it is smaller than the sum of its proper divisors (37855908).

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

18753372 is a wasteful number, since it uses less digits than its factorization.

18753372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 139 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 18753372 is about 4330.5163664395. The cubic root of 18753372 is about 265.6805670508.

The spelling of 18753372 in words is "eighteen million, seven hundred fifty-three thousand, three hundred seventy-two".