4212072 has 48 divisors (see below), whose sum is σ = 12012000. Its totient is φ = 1329696.

The previous prime is 4212071. The next prime is 4212097. The reversal of 4212072 is 2702124.

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

It is a d-powerful number, because it can be written as 4² + 2¹⁰ + 1 + 2¹⁴ + 0 + 7³ + 2²² .

It is not an unprimeable number, because it can be changed into a prime (4212071) 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 11 ways as a sum of consecutive naturals, for example, 172 + ... + 2907.

It is an arithmetic number, because the mean of its divisors is an integer number (250250).

Almost surely, 2^4212072 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 4212072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6006000).

4212072 is an abundant number, since it is smaller than the sum of its proper divisors (7799928).

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

4212072 is a wasteful number, since it uses less digits than its factorization.

4212072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3110 (or 3103 counting only the distinct ones).

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

The square root of 4212072 is about 2052.3333062639. Note that the first 4 decimals coincide. The cubic root of 4212072 is about 161.4972985647.

Adding to 4212072 its reverse (2702124), we get a palindrome (6914196).

The spelling of 4212072 in words is "four million, two hundred twelve thousand, seventy-two".