4073792 has 28 divisors (see below), whose sum is σ = 8243316. Its totient is φ = 1996800.

The previous prime is 4073791. The next prime is 4073807. The reversal of 4073792 is 2973704.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1032256 + 3041536 = 1016^2 + 1744^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4073791) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2792 + ... + 3992.

Almost surely, 2^4073792 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 4073792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4121658).

4073792 is an abundant number, since it is smaller than the sum of its proper divisors (4169524).

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

4073792 is a wasteful number, since it uses less digits than its factorization.

4073792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 32.

The square root of 4073792 is about 2018.3636936885. The cubic root of 4073792 is about 159.7103091449.

The spelling of 4073792 in words is "four million, seventy-three thousand, seven hundred ninety-two".