4172000 has 96 divisors (see below), whose sum is σ = 11793600. Its totient is φ = 1420800.

The previous prime is 4171991. The next prime is 4172029. The reversal of 4172000 is 2714.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27926 + ... + 28074.

It is an arithmetic number, because the mean of its divisors is an integer number (122850).

Almost surely, 2^4172000 is an apocalyptic number.

4172000 is a gapful number since it is divisible by the number (40) 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 4172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896800).

4172000 is an abundant number, since it is smaller than the sum of its proper divisors (7621600).

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

4172000 is a wasteful number, since it uses less digits than its factorization.

4172000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 4172000 is about 2042.5474290699. The cubic root of 4172000 is about 160.9835251843.

Adding to 4172000 its reverse (2714), we get a palindrome (4174714).

The spelling of 4172000 in words is "four million, one hundred seventy-two thousand".