18739872 has 72 divisors (see below), whose sum is σ = 55036800. Its totient is φ = 6042240.

The previous prime is 18739867. The next prime is 18739883. The reversal of 18739872 is 27893781.

Added to its reverse (27893781) it gives a triangular number (46633653 = T₉₆₅₇).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7879 + ... + 9977.

It is an arithmetic number, because the mean of its divisors is an integer number (764400).

Almost surely, 2^18739872 is an apocalyptic number.

18739872 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 18739872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27518400).

18739872 is an abundant number, since it is smaller than the sum of its proper divisors (36296928).

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

18739872 is a wasteful number, since it uses less digits than its factorization.

18739872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146 (or 2135 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 18739872 is about 4328.9573802476. The cubic root of 18739872 is about 265.6167998760.

Adding to 18739872 its reverse (27893781), we get a triangular number (46633653 = T₉₆₅₇).

The spelling of 18739872 in words is "eighteen million, seven hundred thirty-nine thousand, eight hundred seventy-two".