53187200 has 96 divisors (see below), whose sum is σ = 143428320. Its totient is φ = 19328000.

The previous prime is 53187187. The next prime is 53187223. The reversal of 53187200 is 278135.

It is a self number, because there is not a number n which added to its sum of digits gives 53187200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34445 + ... + 35955.

It is an arithmetic number, because the mean of its divisors is an integer number (1494045).

Almost surely, 2^53187200 is an apocalyptic number.

53187200 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 53187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71714160).

53187200 is an abundant number, since it is smaller than the sum of its proper divisors (90241120).

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

53187200 is a wasteful number, since it uses less digits than its factorization.

53187200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 53187200 is about 7292.9555051433. The cubic root of 53187200 is about 376.0703052478.

The spelling of 53187200 in words is "fifty-three million, one hundred eighty-seven thousand, two hundred".