54059072 has 42 divisors (see below), whose sum is σ = 110429802. Its totient is φ = 26256384.

The previous prime is 54059059. The next prime is 54059077. The reversal of 54059072 is 27095045.

It can be written as a sum of positive squares in 3 ways, for example, as 14318656 + 39740416 = 3784^2 + 6304^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (54059077) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 87308 + ... + 87924.

It is an arithmetic number, because the mean of its divisors is an integer number (2629281).

Almost surely, 2^54059072 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 54059072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55214901).

54059072 is an abundant number, since it is smaller than the sum of its proper divisors (56370730).

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

54059072 is an equidigital number, since it uses as much as digits as its factorization.

54059072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 54059072 is about 7352.4874702375. The cubic root of 54059072 is about 378.1140907719.

The spelling of 54059072 in words is "fifty-four million, fifty-nine thousand, seventy-two".