5215200 has 144 divisors (see below), whose sum is σ = 17717616. Its totient is φ = 1331200.

The previous prime is 5215183. The next prime is 5215201. The reversal of 5215200 is 25125.

It is a super-2 number, since 2×5215200² = 54396622080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 5215200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5215201) 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, 98374 + ... + 98426.

It is an arithmetic number, because the mean of its divisors is an integer number (123039).

Almost surely, 2^5215200 is an apocalyptic number.

5215200 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 5215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8858808).

5215200 is an abundant number, since it is smaller than the sum of its proper divisors (12502416).

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

5215200 is a wasteful number, since it uses less digits than its factorization.

5215200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 5215200 is about 2283.6812387021. The cubic root of 5215200 is about 173.4164624268.

The spelling of 5215200 in words is "five million, two hundred fifteen thousand, two hundred".