4164072 has 32 divisors (see below), whose sum is σ = 11357280. Its totient is φ = 1261760.

The previous prime is 4164071. The next prime is 4164101. The reversal of 4164072 is 2704614.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (4164071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7623 + ... + 8150.

It is an arithmetic number, because the mean of its divisors is an integer number (354915).

Almost surely, 2^4164072 is an apocalyptic number.

It is an amenable number.

4164072 is an abundant number, since it is smaller than the sum of its proper divisors (7193208).

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

4164072 is a wasteful number, since it uses less digits than its factorization.

4164072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15793 (or 15789 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 4164072 is about 2040.6057924058. The cubic root of 4164072 is about 160.8814888569.

Adding to 4164072 its reverse (2704614), we get a palindrome (6868686).

The spelling of 4164072 in words is "four million, one hundred sixty-four thousand, seventy-two".