18825872 has 40 divisors (see below), whose sum is σ = 40648440. Its totient is φ = 8386560.

The previous prime is 18825871. The next prime is 18825887. The reversal of 18825872 is 27852881.

It can be written as a sum of positive squares in 4 ways, for example, as 541696 + 18284176 = 736^2 + 4276^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18825871) 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, 4472 + ... + 7592.

It is an arithmetic number, because the mean of its divisors is an integer number (1016211).

Almost surely, 2^18825872 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 18825872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20324220).

18825872 is an abundant number, since it is smaller than the sum of its proper divisors (21822568).

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

18825872 is a wasteful number, since it uses less digits than its factorization.

18825872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3171 (or 3165 counting only the distinct ones).

The product of its digits is 71680, while the sum is 41.

The square root of 18825872 is about 4338.8791179290. The cubic root of 18825872 is about 266.0224979558.

The spelling of 18825872 in words is "eighteen million, eight hundred twenty-five thousand, eight hundred seventy-two".