54420072 has 64 divisors (see below), whose sum is σ = 156280320. Its totient is φ = 15469248.

The previous prime is 54420071. The next prime is 54420083. The reversal of 54420072 is 27002445.

54420072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (54420071) 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, 37423 + ... + 38849.

It is an arithmetic number, because the mean of its divisors is an integer number (2441880).

Almost surely, 2^54420072 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 54420072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78140160).

54420072 is an abundant number, since it is smaller than the sum of its proper divisors (101860248).

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

54420072 is a wasteful number, since it uses less digits than its factorization.

54420072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 54420072 is about 7376.9961366399. The cubic root of 54420072 is about 378.9538910265.

The spelling of 54420072 in words is "fifty-four million, four hundred twenty thousand, seventy-two".