54721200 has 120 divisors (see below), whose sum is σ = 181067776. Its totient is φ = 14112000.

The previous prime is 54721193. The next prime is 54721213. The reversal of 54721200 is 212745.

54721200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 36465 + ... + 37935.

Almost surely, 2^54721200 is an apocalyptic number.

54721200 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 54721200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90533888).

54721200 is an abundant number, since it is smaller than the sum of its proper divisors (126346576).

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

54721200 is a wasteful number, since it uses less digits than its factorization.

54721200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 54721200 is about 7397.3779138287. The cubic root of 54721200 is about 379.6515735114.

Adding to 54721200 its reverse (212745), we get a palindrome (54933945).

The spelling of 54721200 in words is "fifty-four million, seven hundred twenty-one thousand, two hundred".