55272000 has 336 divisors, whose sum is σ = 216822528. Its totient is φ = 12364800.

The previous prime is 55271987. The next prime is 55272001. The reversal of 55272000 is 27255.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (55272001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1175977 + ... + 1176023.

Almost surely, 2^55272000 is an apocalyptic number.

55272000 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 55272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108411264).

55272000 is an abundant number, since it is smaller than the sum of its proper divisors (161550528).

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

55272000 is a wasteful number, since it uses less digits than its factorization.

55272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 21.

The square root of 55272000 is about 7434.5141065170. The cubic root of 55272000 is about 380.9211264041.

Adding to 55272000 its reverse (27255), we get a palindrome (55299255).

The spelling of 55272000 in words is "fifty-five million, two hundred seventy-two thousand".