4015872 has 144 divisors (see below), whose sum is σ = 13735680. Its totient is φ = 1133568.

The previous prime is 4015841. The next prime is 4015873. The reversal of 4015872 is 2785104.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×4015872² = 32254455840768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4015873) 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, 48343 + ... + 48425.

Almost surely, 2^4015872 is an apocalyptic number.

4015872 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 4015872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6867840).

4015872 is an abundant number, since it is smaller than the sum of its proper divisors (9719808).

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

4015872 is an equidigital number, since it uses as much as digits as its factorization.

4015872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 4015872 is about 2003.9640715342. The cubic root of 4015872 is about 158.9497883458.

The spelling of 4015872 in words is "four million, fifteen thousand, eight hundred seventy-two".