16272400 has 60 divisors (see below), whose sum is σ = 41411412. Its totient is φ = 6123520.

The previous prime is 16272343. The next prime is 16272433. The reversal of 16272400 is 427261.

It can be written as a sum of positive squares in 6 ways, for example, as 1557504 + 14714896 = 1248^2 + 3836^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5604 + ... + 7996.

Almost surely, 2^16272400 is an apocalyptic number.

16272400 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 16272400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20705706).

16272400 is an abundant number, since it is smaller than the sum of its proper divisors (25139012).

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

16272400 is a wasteful number, since it uses less digits than its factorization.

16272400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 16272400 is about 4033.9062953916. The cubic root of 16272400 is about 253.4061809585.

Adding to 16272400 its reverse (427261), we get a palindrome (16699661).

The spelling of 16272400 in words is "sixteen million, two hundred seventy-two thousand, four hundred".