55272 has 48 divisors (see below), whose sum is σ = 164160. Its totient is φ = 15456.

The previous prime is 55259. The next prime is 55291. The reversal of 55272 is 27255.

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

55272 is a Rhonda number in base 10.

Its product of digits (700) is a multiple of the sum of its prime factors (70).

It is a plaindrome in base 15.

It is an unprimeable number.

55272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1153 + ... + 1199.

It is an arithmetic number, because the mean of its divisors is an integer number (3420).

2⁵⁵²⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82080).

55272 is an abundant number, since it is smaller than the sum of its proper divisors (108888).

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

55272 is a wasteful number, since it uses less digits than its factorization.

55272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 59 counting only the distinct ones).

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

The square root of 55272 is about 235.0999787325. The cubic root of 55272 is about 38.0921126404.

The spelling of 55272 in words is "fifty-five thousand, two hundred seventy-two".