52621200 has 180 divisors, whose sum is σ = 187095168. Its totient is φ = 13689600.

The previous prime is 52621187. The next prime is 52621201. The reversal of 52621200 is 212625.

52621200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (52621201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 169045 + ... + 169355.

Almost surely, 2^52621200 is an apocalyptic number.

52621200 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 52621200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93547584).

52621200 is an abundant number, since it is smaller than the sum of its proper divisors (134473968).

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

52621200 is a wasteful number, since it uses less digits than its factorization.

52621200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 52621200 is about 7254.0471462488. The cubic root of 52621200 is about 374.7315411922.

Adding to 52621200 its reverse (212625), we get a palindrome (52833825).

The spelling of 52621200 in words is "fifty-two million, six hundred twenty-one thousand, two hundred".