4004000072 has 64 divisors (see below), whose sum is σ = 8363088000. Its totient is φ = 1788322816.

The previous prime is 4004000071. The next prime is 4004000153. The reversal of 4004000072 is 2700004004.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 4004000072.

It is not an unprimeable number, because it can be changed into a prime (4004000071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224093 + ... + 241299.

It is an arithmetic number, because the mean of its divisors is an integer number (130673250).

Almost surely, 2^4004000072 is an apocalyptic number.

It is an amenable number.

4004000072 is an abundant number, since it is smaller than the sum of its proper divisors (4359087928).

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

4004000072 is a wasteful number, since it uses less digits than its factorization.

4004000072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17318 (or 17314 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 4004000072 is about 63277.1686471511. The cubic root of 4004000072 is about 1587.9300188903.

Adding to 4004000072 its reverse (2700004004), we get a palindrome (6704004076).

The spelling of 4004000072 in words is "four billion, four million, seventy-two", and thus it is an aban number.