56123200 has 84 divisors (see below), whose sum is σ = 157857952. Its totient is φ = 19238400.

The previous prime is 56123173. The next prime is 56123201. The reversal of 56123200 is 232165.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56123201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8695 + ... + 13705.

Almost surely, 2^56123200 is an apocalyptic number.

56123200 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 56123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78928976).

56123200 is an abundant number, since it is smaller than the sum of its proper divisors (101734752).

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

56123200 is a wasteful number, since it uses less digits than its factorization.

56123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5040 (or 5025 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 56123200 is about 7491.5418973667. The cubic root of 56123200 is about 382.8665942993.

Adding to 56123200 its reverse (232165), we get a palindrome (56355365).

It can be divided in two parts, 56 and 123200, that added together give a triangular number (123256 = T₄₉₆).

The spelling of 56123200 in words is "fifty-six million, one hundred twenty-three thousand, two hundred".