54972 has 24 divisors (see below), whose sum is σ = 142800. Its totient is φ = 18288.

The previous prime is 54959. The next prime is 54973. The reversal of 54972 is 27945.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54973) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147 + ... + 362.

It is an arithmetic number, because the mean of its divisors is an integer number (5950).

2⁵⁴⁹⁷² is an apocalyptic number.

It is an amenable number.

54972 is an abundant number, since it is smaller than the sum of its proper divisors (87828).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71400).

54972 is a wasteful number, since it uses less digits than its factorization.

54972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 514 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 54972 is about 234.4610841910. The cubic root of 54972 is about 38.0230700171.

Subtracting from 54972 its sum of digits (27), we obtain a palindrome (54945).

The spelling of 54972 in words is "fifty-four thousand, nine hundred seventy-two".