18519072 has 192 divisors, whose sum is σ = 60963840. Its totient is φ = 4838400.

The previous prime is 18519049. The next prime is 18519107. The reversal of 18519072 is 27091581.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260797 + ... + 260867.

It is an arithmetic number, because the mean of its divisors is an integer number (317520).

Almost surely, 2^18519072 is an apocalyptic number.

18519072 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 18519072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30481920).

18519072 is an abundant number, since it is smaller than the sum of its proper divisors (42444768).

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

18519072 is a wasteful number, since it uses less digits than its factorization.

18519072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 18519072 is about 4303.3791373757. The cubic root of 18519072 is about 264.5694777597.

The spelling of 18519072 in words is "eighteen million, five hundred nineteen thousand, seventy-two".