5272400 has 90 divisors (see below), whose sum is σ = 14789790. Its totient is φ = 1800960.

The previous prime is 5272369. The next prime is 5272411. The reversal of 5272400 is 42725.

It can be written as a sum of positive squares in 3 ways, for example, as 784 + 5271616 = 28^2 + 2296^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 19466 + ... + 19734.

It is an arithmetic number, because the mean of its divisors is an integer number (164331).

Almost surely, 2^5272400 is an apocalyptic number.

5272400 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 5272400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7394895).

5272400 is an abundant number, since it is smaller than the sum of its proper divisors (9517390).

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

5272400 is a wasteful number, since it uses less digits than its factorization.

5272400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 5272400 is about 2296.1707253599. The cubic root of 5272400 is about 174.0481656415.

The spelling of 5272400 in words is "five million, two hundred seventy-two thousand, four hundred".