4072872 has 32 divisors (see below), whose sum is σ = 10241280. Its totient is φ = 1349760.

The previous prime is 4072867. The next prime is 4072883. The reversal of 4072872 is 2782704.

4072872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4972 + ... + 5732.

It is an arithmetic number, because the mean of its divisors is an integer number (320040).

Almost surely, 2^4072872 is an apocalyptic number.

It is an amenable number.

4072872 is an abundant number, since it is smaller than the sum of its proper divisors (6168408).

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

4072872 is a wasteful number, since it uses less digits than its factorization.

4072872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 4072872 is about 2018.1357734305. The cubic root of 4072872 is about 159.6982855768.

The spelling of 4072872 in words is "four million, seventy-two thousand, eight hundred seventy-two".