55872000 has 240 divisors, whose sum is σ = 203315112. Its totient is φ = 14745600.

The previous prime is 55871987. The next prime is 55872077. The reversal of 55872000 is 27855.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15116544 + 40755456 = 3888^2 + 6384^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 575952 + ... + 576048.

Almost surely, 2^55872000 is an apocalyptic number.

55872000 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 55872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101657556).

55872000 is an abundant number, since it is smaller than the sum of its proper divisors (147443112).

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

55872000 is an equidigital number, since it uses as much as digits as its factorization.

55872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 55872000 is about 7474.7575211508. The cubic root of 55872000 is about 382.2945199057.

Adding to 55872000 its reverse (27855), we get a palindrome (55899855).

The spelling of 55872000 in words is "fifty-five million, eight hundred seventy-two thousand".