4072896 has 56 divisors (see below), whose sum is σ = 11978640. Its totient is φ = 1357056.

The previous prime is 4072883. The next prime is 4072903. The reversal of 4072896 is 6982704.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4072896.

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, 550 + ... + 2906.

Almost surely, 2^4072896 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 4072896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5989320).

4072896 is an abundant number, since it is smaller than the sum of its proper divisors (7905744).

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

4072896 is a wasteful number, since it uses less digits than its factorization.

4072896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2378 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4072896 is about 2018.1417195034. The cubic root of 4072896 is about 159.6985992581.

The spelling of 4072896 in words is "four million, seventy-two thousand, eight hundred ninety-six".