8371872 has 72 divisors (see below), whose sum is σ = 24422580. Its totient is φ = 2718720.

The previous prime is 8371861. The next prime is 8371897. The reversal of 8371872 is 2781738.

It can be written as a sum of positive squares in 2 ways, for example, as 6533136 + 1838736 = 2556^2 + 1356^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11454 + ... + 12162.

Almost surely, 2^8371872 is an apocalyptic number.

8371872 is a gapful number since it is divisible by the number (82) 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 8371872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12211290).

8371872 is an abundant number, since it is smaller than the sum of its proper divisors (16050708).

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

8371872 is a wasteful number, since it uses less digits than its factorization.

8371872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 755 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 8371872 is about 2893.4187391389. The cubic root of 8371872 is about 203.0521192422.

The spelling of 8371872 in words is "eight million, three hundred seventy-one thousand, eight hundred seventy-two".