8000172 has 72 divisors (see below), whose sum is σ = 21403200. Its totient is φ = 2515968.

The previous prime is 8000171. The next prime is 8000173. The reversal of 8000172 is 2710008.

It is an interprime number because it is at equal distance from previous prime (8000171) and next prime (8000173).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (8000171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82428 + ... + 82524.

Almost surely, 2^8000172 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 8000172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10701600).

8000172 is an abundant number, since it is smaller than the sum of its proper divisors (13403028).

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

8000172 is a wasteful number, since it uses less digits than its factorization.

8000172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 8000172 is about 2828.4575301744. The cubic root of 8000172 is about 200.0014333231.

The spelling of 8000172 in words is "eight million, one hundred seventy-two", and thus it is an aban number.