56072800 has 288 divisors, whose sum is σ = 179988480. Its totient is φ = 16588800.

The previous prime is 56072791. The next prime is 56072801. The reversal of 56072800 is 827065.

56072800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56072801) 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 47 ways as a sum of consecutive naturals, for example, 1808785 + ... + 1808815.

It is an arithmetic number, because the mean of its divisors is an integer number (624960).

Almost surely, 2^56072800 is an apocalyptic number.

56072800 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 56072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89994240).

56072800 is an abundant number, since it is smaller than the sum of its proper divisors (123915680).

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

56072800 is a wasteful number, since it uses less digits than its factorization.

56072800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 56072800 is about 7488.1773483272. The cubic root of 56072800 is about 382.7519521343.

Adding to 56072800 its reverse (827065), we get a palindrome (56899865).

The spelling of 56072800 in words is "fifty-six million, seventy-two thousand, eight hundred".