4213572 has 48 divisors (see below), whose sum is σ = 10850112. Its totient is φ = 1262080.

The previous prime is 4213567. The next prime is 4213589. The reversal of 4213572 is 2753124.

It is a d-powerful number, because it can be written as 4³ + 2¹⁴ + 1 + 3⁷ + 5⁴ + 7 + 2²² .

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 17968 + ... + 18200.

It is an arithmetic number, because the mean of its divisors is an integer number (226044).

Almost surely, 2^4213572 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 4213572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5425056).

4213572 is an abundant number, since it is smaller than the sum of its proper divisors (6636540).

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

4213572 is a wasteful number, since it uses less digits than its factorization.

4213572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 386 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 4213572 is about 2052.6987114528. The cubic root of 4213572 is about 161.5164670560.

Adding to 4213572 its reverse (2753124), we get a palindrome (6966696).

It can be divided in two parts, 421 and 3572, that added together give a palindrome (3993).

The spelling of 4213572 in words is "four million, two hundred thirteen thousand, five hundred seventy-two".