4104072 has 96 divisors (see below), whose sum is σ = 13478400. Its totient is φ = 1101312.

The previous prime is 4104053. The next prime is 4104083. The reversal of 4104072 is 2704014.

It is a happy number.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 8329 + ... + 8807.

It is an arithmetic number, because the mean of its divisors is an integer number (140400).

Almost surely, 2^4104072 is an apocalyptic number.

4104072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4104072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6739200).

4104072 is an abundant number, since it is smaller than the sum of its proper divisors (9374328).

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

4104072 is a wasteful number, since it uses less digits than its factorization.

4104072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 508 counting only the distinct ones).

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

The square root of 4104072 is about 2025.8509323245. The cubic root of 4104072 is about 160.1050351991.

Adding to 4104072 its reverse (2704014), we get a palindrome (6808086).

The spelling of 4104072 in words is "four million, one hundred four thousand, seventy-two".