16272000 has 192 divisors, whose sum is σ = 58953960. Its totient is φ = 4300800.

The previous prime is 16271963. The next prime is 16272001. The reversal of 16272000 is 27261.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 968256 + 15303744 = 984^2 + 3912^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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 (16272001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143944 + ... + 144056.

It is a vampire number, since it can be written as 2712 ⋅ 6000 (with its own digits).

Almost surely, 2^16272000 is an apocalyptic number.

16272000 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 16272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29476980).

16272000 is an abundant number, since it is smaller than the sum of its proper divisors (42681960).

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

16272000 is a wasteful number, since it uses less digits than its factorization.

16272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 16272000 is about 4033.8567153532. The cubic root of 16272000 is about 253.4041045734.

Adding to 16272000 its reverse (27261), we get a palindrome (16299261).

The spelling of 16272000 in words is "sixteen million, two hundred seventy-two thousand".