18433872 has 80 divisors (see below), whose sum is σ = 53746560. Its totient is φ = 6048000.

The previous prime is 18433861. The next prime is 18433873. The reversal of 18433872 is 27833481.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18433873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30372 + ... + 30972.

It is an arithmetic number, because the mean of its divisors is an integer number (671832).

Almost surely, 2^18433872 is an apocalyptic number.

18433872 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 18433872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26873280).

18433872 is an abundant number, since it is smaller than the sum of its proper divisors (35312688).

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

18433872 is a wasteful number, since it uses less digits than its factorization.

18433872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 677 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 18433872 is about 4293.4685278921. The cubic root of 18433872 is about 264.1631223285.

The spelling of 18433872 in words is "eighteen million, four hundred thirty-three thousand, eight hundred seventy-two".