16172000 has 96 divisors (see below), whose sum is σ = 42928704. Its totient is φ = 5952000.

The previous prime is 16171973. The next prime is 16172017. The reversal of 16172000 is 27161.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 16172000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51845 + ... + 52155.

It is an arithmetic number, because the mean of its divisors is an integer number (447174).

Almost surely, 2^16172000 is an apocalyptic number.

16172000 is a gapful number since it is divisible by the number (10) 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 16172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21464352).

16172000 is an abundant number, since it is smaller than the sum of its proper divisors (26756704).

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

16172000 is a wasteful number, since it uses less digits than its factorization.

16172000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 16172000 is about 4021.4425272531. The cubic root of 16172000 is about 252.8839370368.

Adding to 16172000 its reverse (27161), we get a palindrome (16199161).

The spelling of 16172000 in words is "sixteen million, one hundred seventy-two thousand".