5200272 has 180 divisors, whose sum is σ = 18744336. Its totient is φ = 1330560.

The previous prime is 5200229. The next prime is 5200297. The reversal of 5200272 is 2720025.

It is a happy number.

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

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77583 + ... + 77649.

Almost surely, 2^5200272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5200272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9372168).

5200272 is an abundant number, since it is smaller than the sum of its proper divisors (13544064).

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

5200272 is a wasteful number, since it uses less digits than its factorization.

5200272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 5200272 is about 2280.4104893637. The cubic root of 5200272 is about 173.2508417468.

Adding to 5200272 its reverse (2720025), we get a palindrome (7920297).

The spelling of 5200272 in words is "five million, two hundred thousand, two hundred seventy-two".