18123872 has 48 divisors (see below), whose sum is σ = 40466160. Its totient is φ = 7921152.

The previous prime is 18123857. The next prime is 18123877. The reversal of 18123872 is 27832181.

It is a super-3 number, since 3×18123872³ (a number of 23 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18123877) 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, 6758 + ... + 9050.

It is an arithmetic number, because the mean of its divisors is an integer number (843045).

Almost surely, 2^18123872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18123872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20233080).

18123872 is an abundant number, since it is smaller than the sum of its proper divisors (22342288).

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

18123872 is a wasteful number, since it uses less digits than its factorization.

18123872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2335 (or 2327 counting only the distinct ones).

The product of its digits is 5376, while the sum is 32.

The square root of 18123872 is about 4257.2141125389. The cubic root of 18123872 is about 262.6739442729.

The spelling of 18123872 in words is "eighteen million, one hundred twenty-three thousand, eight hundred seventy-two".