5272800 has 144 divisors (see below), whose sum is σ = 18592560. Its totient is φ = 1297920.

The previous prime is 5272793. The next prime is 5272801. The reversal of 5272800 is 82725.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5272801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 405594 + ... + 405606.

It is an arithmetic number, because the mean of its divisors is an integer number (129115).

Almost surely, 2^5272800 is an apocalyptic number.

5272800 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 5272800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9296280).

5272800 is an abundant number, since it is smaller than the sum of its proper divisors (13319760).

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

5272800 is a wasteful number, since it uses less digits than its factorization.

5272800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 5272800 is about 2296.2578252452. The cubic root of 5272800 is about 174.0525670214.

The spelling of 5272800 in words is "five million, two hundred seventy-two thousand, eight hundred".