4005015072 has 48 divisors (see below), whose sum is σ = 10875695040. Its totient is φ = 1288969472.

The previous prime is 4005015071. The next prime is 4005015097. The reversal of 4005015072 is 2705105004.

It is a tau number, because it is divible by the number of its divisors (48).

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 (4005015071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 716508 + ... + 722075.

It is an arithmetic number, because the mean of its divisors is an integer number (226576980).

Almost surely, 2^4005015072 is an apocalyptic number.

It is an amenable number.

4005015072 is an abundant number, since it is smaller than the sum of its proper divisors (6870679968).

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

4005015072 is a wasteful number, since it uses less digits than its factorization.

4005015072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438625 (or 1438617 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 4005015072 is about 63285.1884092953. The cubic root of 4005015072 is about 1588.0641857874.

The spelling of 4005015072 in words is "four billion, five million, fifteen thousand, seventy-two".