4120272 has 120 divisors (see below), whose sum is σ = 12999168. Its totient is φ = 1209600.

The previous prime is 4120253. The next prime is 4120279. The reversal of 4120272 is 2720214.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4120279) 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, 57997 + ... + 58067.

Almost surely, 2^4120272 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 4120272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6499584).

4120272 is an abundant number, since it is smaller than the sum of its proper divisors (8878896).

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

4120272 is a wasteful number, since it uses less digits than its factorization.

4120272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 4120272 is about 2029.8453143035. The cubic root of 4120272 is about 160.3154194491.

Adding to 4120272 its reverse (2720214), we get a palindrome (6840486).

The spelling of 4120272 in words is "four million, one hundred twenty thousand, two hundred seventy-two".