55672200 has 144 divisors (see below), whose sum is σ = 189111780. Its totient is φ = 14676480.

The previous prime is 55672193. The next prime is 55672217. The reversal of 55672200 is 227655.

55672200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 31877316 + 23794884 = 5646^2 + 4878^2 .

It is an unprimeable number.

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, 282502 + ... + 282698.

Almost surely, 2^55672200 is an apocalyptic number.

55672200 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 55672200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94555890).

55672200 is an abundant number, since it is smaller than the sum of its proper divisors (133439580).

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

55672200 is a wasteful number, since it uses less digits than its factorization.

55672200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 55672200 is about 7461.3805693049. The cubic root of 55672200 is about 381.8382766171.

Adding to 55672200 its reverse (227655), we get a palindrome (55899855).

The spelling of 55672200 in words is "fifty-five million, six hundred seventy-two thousand, two hundred".