52087200 has 144 divisors (see below), whose sum is σ = 185050656. Its totient is φ = 12620800.

The previous prime is 52087199. The next prime is 52087241. The reversal of 52087200 is 278025.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25414 + ... + 27386.

It is an arithmetic number, because the mean of its divisors is an integer number (1285074).

Almost surely, 2^52087200 is an apocalyptic number.

52087200 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 52087200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92525328).

52087200 is an abundant number, since it is smaller than the sum of its proper divisors (132963456).

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

52087200 is a wasteful number, since it uses less digits than its factorization.

52087200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2007 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 52087200 is about 7217.1462504234. The cubic root of 52087200 is about 373.4596369702.

The spelling of 52087200 in words is "fifty-two million, eighty-seven thousand, two hundred".