18720072 has 80 divisors (see below), whose sum is σ = 59938560. Its totient is φ = 5347296.

The previous prime is 18719983. The next prime is 18720083. The reversal of 18720072 is 27002781.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2473 + ... + 6599.

It is an arithmetic number, because the mean of its divisors is an integer number (749232).

Almost surely, 2^18720072 is an apocalyptic number.

18720072 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 18720072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29969280).

18720072 is an abundant number, since it is smaller than the sum of its proper divisors (41218488).

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

18720072 is a wasteful number, since it uses less digits than its factorization.

18720072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4152 (or 4139 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 18720072 is about 4326.6698510517. The cubic root of 18720072 is about 265.5232192659.

The spelling of 18720072 in words is "eighteen million, seven hundred twenty thousand, seventy-two".