5359200 has 288 divisors, whose sum is σ = 22498560. Its totient is φ = 1075200.

The previous prime is 5359183. The next prime is 5359217. The reversal of 5359200 is 29535.

5359200 = 28² + 29² + ... + 252².

It is an interprime number because it is at equal distance from previous prime (5359183) and next prime (5359217).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

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, 184786 + ... + 184814.

It is an arithmetic number, because the mean of its divisors is an integer number (78120).

Almost surely, 2^5359200 is an apocalyptic number.

5359200 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 5359200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249280).

5359200 is an abundant number, since it is smaller than the sum of its proper divisors (17139360).

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

5359200 is a wasteful number, since it uses less digits than its factorization.

5359200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 5359200 is about 2314.9946004257. The cubic root of 5359200 is about 174.9980952174.

The spelling of 5359200 in words is "five million, three hundred fifty-nine thousand, two hundred".