18849072 has 80 divisors (see below), whose sum is σ = 54996480. Its totient is φ = 5510400.

The previous prime is 18849071. The next prime is 18849091. The reversal of 18849072 is 27094881.

It is a super-2 number, since 2×18849072² = 710575030522368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 18849072.

It is not an unprimeable number, because it can be changed into a prime (18849071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14697 + ... + 15927.

It is an arithmetic number, because the mean of its divisors is an integer number (687456).

Almost surely, 2^18849072 is an apocalyptic number.

18849072 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 18849072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27498240).

18849072 is an abundant number, since it is smaller than the sum of its proper divisors (36147408).

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

18849072 is a wasteful number, since it uses less digits than its factorization.

18849072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 18849072 is about 4341.5517963051. The cubic root of 18849072 is about 266.1317304073.

The spelling of 18849072 in words is "eighteen million, eight hundred forty-nine thousand, seventy-two".