54214272 has 224 divisors, whose sum is σ = 187296480. Its totient is φ = 15303168.

The previous prime is 54214249. The next prime is 54214273. The reversal of 54214272 is 27241245.

54214272 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 (224).

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

It is not an unprimeable number, because it can be changed into a prime (54214273) 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 27 ways as a sum of consecutive naturals, for example, 653143 + ... + 653225.

It is an arithmetic number, because the mean of its divisors is an integer number (836145).

Almost surely, 2^54214272 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 54214272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93648240).

54214272 is an abundant number, since it is smaller than the sum of its proper divisors (133082208).

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

54214272 is an frugal number, since it uses more digits than its factorization.

54214272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 95 counting only the distinct ones).

The product of its digits is 4480, while the sum is 27.

The square root of 54214272 is about 7363.0341571936. The cubic root of 54214272 is about 378.4755918453.

The spelling of 54214272 in words is "fifty-four million, two hundred fourteen thousand, two hundred seventy-two".