54172128 has 96 divisors (see below), whose sum is σ = 149022720. Its totient is φ = 17210880.

The previous prime is 54172127. The next prime is 54172133. The reversal of 54172128 is 82127145.

54172128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (4480) is a multiple of the sum of its prime factors (320).

It is a junction number, because it is equal to n+sod(n) for n = 54172095 and 54172104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54172123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324301 + ... + 324467.

It is an arithmetic number, because the mean of its divisors is an integer number (1552320).

Almost surely, 2^54172128 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 54172128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74511360).

54172128 is an abundant number, since it is smaller than the sum of its proper divisors (94850592).

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

54172128 is a wasteful number, since it uses less digits than its factorization.

54172128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 312 counting only the distinct ones).

The product of its digits is 4480, while the sum is 30.

The square root of 54172128 is about 7360.1717371268. The cubic root of 54172128 is about 378.3774958420.

The spelling of 54172128 in words is "fifty-four million, one hundred seventy-two thousand, one hundred twenty-eight".