5205200 has 180 divisors, whose sum is σ = 16882848. Its totient is φ = 1497600.

The previous prime is 5205173. The next prime is 5205227. The reversal of 5205200 is 25025.

5205200 = T₂₉ + T₃₀ + ... + T₃₁₄.

It is an interprime number because it is at equal distance from previous prime (5205173) and next prime (5205227).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 400394 + ... + 400406.

Almost surely, 2^5205200 is an apocalyptic number.

5205200 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 5205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8441424).

5205200 is an abundant number, since it is smaller than the sum of its proper divisors (11677648).

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

5205200 is a wasteful number, since it uses less digits than its factorization.

5205200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 14.

The square root of 5205200 is about 2281.4907407220. The cubic root of 5205200 is about 173.3055511028.

The spelling of 5205200 in words is "five million, two hundred five thousand, two hundred".