54117072 has 120 divisors (see below), whose sum is σ = 162489600. Its totient is φ = 17418240.

The previous prime is 54117071. The next prime is 54117109. The reversal of 54117072 is 27071145.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54117071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120304 + ... + 120752.

It is an arithmetic number, because the mean of its divisors is an integer number (1354080).

Almost surely, 2^54117072 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 54117072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81244800).

54117072 is an abundant number, since it is smaller than the sum of its proper divisors (108372528).

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

54117072 is a wasteful number, since it uses less digits than its factorization.

54117072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 54117072 is about 7356.4306562354. The cubic root of 54117072 is about 378.2492686925.

The spelling of 54117072 in words is "fifty-four million, one hundred seventeen thousand, seventy-two".