18772096 has 96 divisors (see below), whose sum is σ = 45174780. Its totient is φ = 7741440.

The previous prime is 18772069. The next prime is 18772099. The reversal of 18772096 is 69027781.

It can be written as a sum of positive squares in 2 ways, for example, as 17640000 + 1132096 = 4200^2 + 1064^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18772099) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 257116 + ... + 257188.

Almost surely, 2^18772096 is an apocalyptic number.

18772096 is a gapful number since it is divisible by the number (16) 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 18772096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22587390).

18772096 is an abundant number, since it is smaller than the sum of its proper divisors (26402684).

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

18772096 is an equidigital number, since it uses as much as digits as its factorization.

18772096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 40.

The square root of 18772096 is about 4332.6776939902. The cubic root of 18772096 is about 265.7689591233.

The spelling of 18772096 in words is "eighteen million, seven hundred seventy-two thousand, ninety-six".