8191872 has 96 divisors (see below), whose sum is σ = 25432680. Its totient is φ = 2515968.

The previous prime is 8191867. The next prime is 8191877. The reversal of 8191872 is 2781918.

It is an interprime number because it is at equal distance from previous prime (8191867) and next prime (8191877).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8191877) 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, 14703 + ... + 15249.

Almost surely, 2^8191872 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 8191872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12716340).

8191872 is an abundant number, since it is smaller than the sum of its proper divisors (17240808).

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

8191872 is a wasteful number, since it uses less digits than its factorization.

8191872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 565 counting only the distinct ones).

The product of its digits is 8064, while the sum is 36.

The square root of 8191872 is about 2862.1446504326. The cubic root of 8191872 is about 201.5863180435.

The spelling of 8191872 in words is "eight million, one hundred ninety-one thousand, eight hundred seventy-two".