18791712 has 72 divisors (see below), whose sum is σ = 54250560. Its totient is φ = 6168960.

The previous prime is 18791701. The next prime is 18791719. The reversal of 18791712 is 21719781.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (18791719) 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, 19989 + ... + 20907.

It is an arithmetic number, because the mean of its divisors is an integer number (753480).

Almost surely, 2^18791712 is an apocalyptic number.

18791712 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 18791712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27125280).

18791712 is an abundant number, since it is smaller than the sum of its proper divisors (35458848).

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

18791712 is a wasteful number, since it uses less digits than its factorization.

18791712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 995 counting only the distinct ones).

The product of its digits is 7056, while the sum is 36.

The square root of 18791712 is about 4334.9408300460. The cubic root of 18791712 is about 265.8614991192.

It can be divided in two parts, 18791 and 712, that added together give a triangular number (19503 = T₁₉₇).

The spelling of 18791712 in words is "eighteen million, seven hundred ninety-one thousand, seven hundred twelve".