4272100 has 72 divisors (see below), whose sum is σ = 11249280. Its totient is φ = 1374720.

The previous prime is 4272091. The next prime is 4272113. The reversal of 4272100 is 12724.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11721 + ... + 12079.

It is an arithmetic number, because the mean of its divisors is an integer number (156240).

Almost surely, 2^4272100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4272100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5624640).

4272100 is an abundant number, since it is smaller than the sum of its proper divisors (6977180).

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

4272100 is a wasteful number, since it uses less digits than its factorization.

4272100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 4272100 is about 2066.9059001319. The cubic root of 4272100 is about 162.2608711594.

Adding to 4272100 its reverse (12724), we get a palindrome (4284824).

The spelling of 4272100 in words is "four million, two hundred seventy-two thousand, one hundred".