5347200 has 96 divisors (see below), whose sum is σ = 17643960. Its totient is φ = 1423360.

The previous prime is 5347183. The next prime is 5347211. The reversal of 5347200 is 27435.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9322 + ... + 9878.

Almost surely, 2^5347200 is an apocalyptic number.

5347200 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 5347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8821980).

5347200 is an abundant number, since it is smaller than the sum of its proper divisors (12296760).

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

5347200 is a wasteful number, since it uses less digits than its factorization.

5347200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 5347200 is about 2312.4013492471. The cubic root of 5347200 is about 174.8673825192.

The spelling of 5347200 in words is "five million, three hundred forty-seven thousand, two hundred".