18605072 has 40 divisors (see below), whose sum is σ = 38731896. Its totient is φ = 8626176.

The previous prime is 18605071. The next prime is 18605077. The reversal of 18605072 is 27050681.

It can be written as a sum of positive squares in 4 ways, for example, as 1597696 + 17007376 = 1264^2 + 4124^2 .

It is a super-2 number, since 2×18605072² = 692297408250368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18605071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19388 + ... + 20324.

Almost surely, 2^18605072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18605072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19365948).

18605072 is an abundant number, since it is smaller than the sum of its proper divisors (20126824).

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

18605072 is a wasteful number, since it uses less digits than its factorization.

18605072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 18605072 is about 4313.3597114083. The cubic root of 18605072 is about 264.9783867504.

It can be divided in two parts, 186050 and 72, that multiplied together give a square (13395600 = 3660²).

The spelling of 18605072 in words is "eighteen million, six hundred five thousand, seventy-two".