54872000 has 112 divisors (see below), whose sum is σ = 143438880. Its totient is φ = 20793600.

The previous prime is 54871969. The next prime is 54872011. The reversal of 54872000 is 27845.

The cubic root of 54872000 is 380.

It is a perfect power (a cube), and thus also a powerful number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2887991 + ... + 2888009.

Almost surely, 2^54872000 is an apocalyptic number.

54872000 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 54872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71719440).

54872000 is an abundant number, since it is smaller than the sum of its proper divisors (88566880).

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

54872000 is an frugal number, since it uses more digits than its factorization.

54872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 54872000 is about 7407.5637020548.

Adding to 54872000 its reverse (27845), we get a palindrome (54899845).

The spelling of 54872000 in words is "fifty-four million, eight hundred seventy-two thousand".