5203872 has 96 divisors (see below), whose sum is σ = 16027200. Its totient is φ = 1638144.

The previous prime is 5203871. The next prime is 5203873. The reversal of 5203872 is 2783025.

5203872 is digitally balanced in base 4 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5203871) and next prime (5203873).

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (5203871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16258 + ... + 16574.

It is an arithmetic number, because the mean of its divisors is an integer number (166950).

Almost surely, 2^5203872 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 5203872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8013600).

5203872 is an abundant number, since it is smaller than the sum of its proper divisors (10823328).

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

5203872 is a wasteful number, since it uses less digits than its factorization.

5203872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5203872 is about 2281.1996843766. The cubic root of 5203872 is about 173.2908113972.

Adding to 5203872 its reverse (2783025), we get a palindrome (7986897).

The spelling of 5203872 in words is "five million, two hundred three thousand, eight hundred seventy-two".