18444672 has 96 divisors (see below), whose sum is σ = 55135080. Its totient is φ = 6137856.

The previous prime is 18444661. The next prime is 18444703. The reversal of 18444672 is 27644481.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30808 + ... + 31400.

Almost surely, 2^18444672 is an apocalyptic number.

18444672 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 18444672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27567540).

18444672 is an abundant number, since it is smaller than the sum of its proper divisors (36690408).

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

18444672 is an frugal number, since it uses more digits than its factorization.

18444672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 598 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 18444672 is about 4294.7260680979. The cubic root of 18444672 is about 264.2147013771.

It can be divided in two parts, 1844 and 4672, that multiplied together give a palindrome (8615168).

The spelling of 18444672 in words is "eighteen million, four hundred forty-four thousand, six hundred seventy-two".