5792000 has 72 divisors (see below), whose sum is σ = 14508312. Its totient is φ = 2304000.

The previous prime is 5791993. The next prime is 5792023. The reversal of 5792000 is 2975.

It can be written as a sum of positive squares in 4 ways, for example, as 1597696 + 4194304 = 1264^2 + 2048^2 .

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, 31910 + ... + 32090.

Almost surely, 2^5792000 is an apocalyptic number.

5792000 is a gapful number since it is divisible by the number (50) 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 5792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7254156).

5792000 is an abundant number, since it is smaller than the sum of its proper divisors (8716312).

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

5792000 is an equidigital number, since it uses as much as digits as its factorization.

5792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 5792000 is about 2406.6574330386. The cubic root of 5792000 is about 179.5875329266.

Adding to 5792000 its reverse (2975), we get a palindrome (5794975).

The spelling of 5792000 in words is "five million, seven hundred ninety-two thousand".