55072800 has 108 divisors (see below), whose sum is σ = 194225850. Its totient is φ = 14684160.

The previous prime is 55072789. The next prime is 55072807. The reversal of 55072800 is 827055.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 25522704 + 29550096 = 5052^2 + 5436^2 .

It is not an unprimeable number, because it can be changed into a prime (55072807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3376 + ... + 11024.

Almost surely, 2^55072800 is an apocalyptic number.

55072800 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 55072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97112925).

55072800 is an abundant number, since it is smaller than the sum of its proper divisors (139153050).

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

55072800 is a wasteful number, since it uses less digits than its factorization.

55072800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7675 (or 7659 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 55072800 is about 7421.1050390087. The cubic root of 55072800 is about 380.4629629714.

Adding to 55072800 its reverse (827055), we get a palindrome (55899855).

The spelling of 55072800 in words is "fifty-five million, seventy-two thousand, eight hundred".