8172000 has 144 divisors (see below), whose sum is σ = 29130192. Its totient is φ = 2169600.

The previous prime is 8171993. The next prime is 8172013. The reversal of 8172000 is 2718.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35887 + ... + 36113.

It is an arithmetic number, because the mean of its divisors is an integer number (202293).

Almost surely, 2^8172000 is an apocalyptic number.

8172000 is a gapful number since it is divisible by the number (80) 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 8172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14565096).

8172000 is an abundant number, since it is smaller than the sum of its proper divisors (20958192).

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

8172000 is a wasteful number, since it uses less digits than its factorization.

8172000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 237 counting only the distinct ones).

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

The square root of 8172000 is about 2858.6710198972. The cubic root of 8172000 is about 201.4231820757.

Adding to 8172000 its reverse (2718), we get a palindrome (8174718).

It can be divided in two parts, 81 and 72000, that multiplied together give a cube (5832000 = 180³).

The spelling of 8172000 in words is "eight million, one hundred seventy-two thousand".