4123872 has 120 divisors (see below), whose sum is σ = 12745656. Its totient is φ = 1306368.

The previous prime is 4123871. The next prime is 4123891. The reversal of 4123872 is 2783214.

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4123871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 95883 + ... + 95925.

Almost surely, 2^4123872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4123872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6372828).

4123872 is an abundant number, since it is smaller than the sum of its proper divisors (8621784).

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

4123872 is a wasteful number, since it uses less digits than its factorization.

4123872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 85 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 4123872 is about 2030.7318877685. The cubic root of 4123872 is about 160.3620965864.

The spelling of 4123872 in words is "four million, one hundred twenty-three thousand, eight hundred seventy-two".