54272 has 22 divisors (see below), whose sum is σ = 110538. Its totient is φ = 26624.

The previous prime is 54269. The next prime is 54277. The reversal of 54272 is 27245.

It can be written as a sum of positive squares in only one way, i.e., 50176 + 4096 = 224^2 + 64^2 .

It is a nialpdrome in base 4 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54277) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 998 + ... + 1050.

2⁵⁴²⁷² 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 54272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55269).

54272 is an abundant number, since it is smaller than the sum of its proper divisors (56266).

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

54272 is an equidigital number, since it uses as much as digits as its factorization.

54272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 55 counting only the distinct ones).

The product of its digits is 560, while the sum is 20.

The square root of 54272 is about 232.9635164570. The cubic root of 54272 is about 37.8609879293.

The spelling of 54272 in words is "fifty-four thousand, two hundred seventy-two".