4072128 has 56 divisors (see below), whose sum is σ = 10924032. Its totient is φ = 1338624.

The previous prime is 4072097. The next prime is 4072139. The reversal of 4072128 is 8212704.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4072098 and 4072107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24301 + ... + 24467.

It is an arithmetic number, because the mean of its divisors is an integer number (195072).

Almost surely, 2^4072128 is an apocalyptic number.

4072128 is a gapful number since it is divisible by the number (48) 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 4072128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5462016).

4072128 is an abundant number, since it is smaller than the sum of its proper divisors (6851904).

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

4072128 is a wasteful number, since it uses less digits than its factorization.

4072128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 4072128 is about 2017.9514364821. The cubic root of 4072128 is about 159.6885608453.

The spelling of 4072128 in words is "four million, seventy-two thousand, one hundred twenty-eight".