54045072 has 60 divisors (see below), whose sum is σ = 152986860. Its totient is φ = 17808384.

The previous prime is 54045071. The next prime is 54045083. The reversal of 54045072 is 27054045.

54045072 is a `hidden beast` number, since 540 + 4 + 50 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 30074256 + 23970816 = 5484^2 + 4896^2 .

It is not an unprimeable number, because it can be changed into a prime (54045071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10708 + ... + 14924.

It is an arithmetic number, because the mean of its divisors is an integer number (2549781).

Almost surely, 2^54045072 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 54045072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76493430).

54045072 is an abundant number, since it is smaller than the sum of its proper divisors (98941788).

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

54045072 is a wasteful number, since it uses less digits than its factorization.

54045072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4320 (or 4311 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 54045072 is about 7351.5353498436. The cubic root of 54045072 is about 378.0814471341.

The spelling of 54045072 in words is "fifty-four million, forty-five thousand, seventy-two".