4198272 has 96 divisors (see below), whose sum is σ = 12437880. Its totient is φ = 1247232.

The previous prime is 4198261. The next prime is 4198307. The reversal of 4198272 is 2728914.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 144754 + ... + 144782.

Almost surely, 2^4198272 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 4198272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6218940).

4198272 is an abundant number, since it is smaller than the sum of its proper divisors (8239608).

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

4198272 is a wasteful number, since it uses less digits than its factorization.

4198272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 47 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 4198272 is about 2048.9685209881. The cubic root of 4198272 is about 161.3207345458.

The spelling of 4198272 in words is "four million, one hundred ninety-eight thousand, two hundred seventy-two".