53287200 has 144 divisors (see below), whose sum is σ = 192800160. Its totient is φ = 14204160.

The previous prime is 53287189. The next prime is 53287211. The reversal of 53287200 is 278235.

It is an interprime number because it is at equal distance from previous prime (53287189) and next prime (53287211).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20367 + ... + 22833.

It is an arithmetic number, because the mean of its divisors is an integer number (1338890).

Almost surely, 2^53287200 is an apocalyptic number.

53287200 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 53287200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96400080).

53287200 is an abundant number, since it is smaller than the sum of its proper divisors (139512960).

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

53287200 is a wasteful number, since it uses less digits than its factorization.

53287200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496 (or 2477 counting only the distinct ones).

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

The square root of 53287200 is about 7299.8082166588. The cubic root of 53287200 is about 376.3058474217.

The spelling of 53287200 in words is "fifty-three million, two hundred eighty-seven thousand, two hundred".