4272800 has 108 divisors (see below), whose sum is σ = 12245310. Its totient is φ = 1451520.

The previous prime is 4272799. The next prime is 4272803. The reversal of 4272800 is 82724.

4272800 = 43² + 44² + ... + 234².

It can be written as a sum of positive squares in 3 ways, for example, as 3519376 + 753424 = 1876^2 + 868^2 .

It is not an unprimeable number, because it can be changed into a prime (4272803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 39146 + ... + 39254.

Almost surely, 2^4272800 is an apocalyptic number.

4272800 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 4272800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6122655).

4272800 is an abundant number, since it is smaller than the sum of its proper divisors (7972510).

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

4272800 is a wasteful number, since it uses less digits than its factorization.

4272800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 4272800 is about 2067.0752284327. The cubic root of 4272800 is about 162.2697330311.

The spelling of 4272800 in words is "four million, two hundred seventy-two thousand, eight hundred".