5292000 has 288 divisors, whose sum is σ = 22407840. Its totient is φ = 1209600.

The previous prime is 5291987. The next prime is 5292017. The reversal of 5292000 is 2925.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 755997 + ... + 756003.

It is an arithmetic number, because the mean of its divisors is an integer number (77805).

Almost surely, 2^5292000 is an apocalyptic number.

5292000 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 5292000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11203920).

5292000 is an abundant number, since it is smaller than the sum of its proper divisors (17115840).

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

5292000 is a wasteful number, since it uses less digits than its factorization.

5292000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 5292000 is about 2300.4347415217. The cubic root of 5292000 is about 174.2635720069.

Adding to 5292000 its reverse (2925), we get a palindrome (5294925).

The spelling of 5292000 in words is "five million, two hundred ninety-two thousand".