4220712 has 72 divisors (see below), whose sum is σ = 12005370. Its totient is φ = 1339200.

The previous prime is 4220693. The next prime is 4220719. The reversal of 4220712 is 2170224.

It can be written as a sum of positive squares in only one way, i.e., 4186116 + 34596 = 2046^2 + 186^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4220719) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 69162 + ... + 69222.

Almost surely, 2^4220712 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 4220712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6002685).

4220712 is an abundant number, since it is smaller than the sum of its proper divisors (7784658).

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

4220712 is a wasteful number, since it uses less digits than its factorization.

4220712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 97 counting only the distinct ones).

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

The square root of 4220712 is about 2054.4371491968. The cubic root of 4220712 is about 161.6076467643.

Adding to 4220712 its reverse (2170224), we get a palindrome (6390936).

The spelling of 4220712 in words is "four million, two hundred twenty thousand, seven hundred twelve".