18819072 has 72 divisors (see below), whose sum is σ = 54406170. Its totient is φ = 6266880.

The previous prime is 18819061. The next prime is 18819107. The reversal of 18819072 is 27091881.

It can be written as a sum of positive squares in only one way, i.e., 15492096 + 3326976 = 3936^2 + 1824^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17922 + ... + 18942.

Almost surely, 2^18819072 is an apocalyptic number.

18819072 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 18819072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27203085).

18819072 is an abundant number, since it is smaller than the sum of its proper divisors (35587098).

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

18819072 is a wasteful number, since it uses less digits than its factorization.

18819072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 18819072 is about 4338.0954346349. The cubic root of 18819072 is about 265.9904645422.

The spelling of 18819072 in words is "eighteen million, eight hundred nineteen thousand, seventy-two".