18684072 has 96 divisors (see below), whose sum is σ = 57058560. Its totient is φ = 5472000.

The previous prime is 18684031. The next prime is 18684077. The reversal of 18684072 is 27048681.

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

It is not an unprimeable number, because it can be changed into a prime (18684077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24172 + ... + 24932.

It is an arithmetic number, because the mean of its divisors is an integer number (594360).

Almost surely, 2^18684072 is an apocalyptic number.

18684072 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 18684072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28529280).

18684072 is an abundant number, since it is smaller than the sum of its proper divisors (38374488).

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

18684072 is a wasteful number, since it uses less digits than its factorization.

18684072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 18684072 is about 4322.5076055457. The cubic root of 18684072 is about 265.3529035056.

The spelling of 18684072 in words is "eighteen million, six hundred eighty-four thousand, seventy-two".