56736100 has 72 divisors (see below), whose sum is σ = 127866816. Its totient is φ = 21840000.

The previous prime is 56736083. The next prime is 56736103. The reversal of 56736100 is 163765.

56736100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (56736103) 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 23 ways as a sum of consecutive naturals, for example, 433035 + ... + 433165.

It is an arithmetic number, because the mean of its divisors is an integer number (1775928).

Almost surely, 2^56736100 is an apocalyptic number.

56736100 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 56736100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63933408).

56736100 is an abundant number, since it is smaller than the sum of its proper divisors (71130716).

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

56736100 is a wasteful number, since it uses less digits than its factorization.

56736100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 56736100 is about 7532.3369547571. The cubic root of 56736100 is about 384.2552646642.

Adding to 56736100 its reverse (163765), we get a palindrome (56899865).

The spelling of 56736100 in words is "fifty-six million, seven hundred thirty-six thousand, one hundred".