54181872 has 100 divisors (see below), whose sum is σ = 158802336. Its totient is φ = 17832960.

The previous prime is 54181867. The next prime is 54181877. The reversal of 54181872 is 27818145.

It is an interprime number because it is at equal distance from previous prime (54181867) and next prime (54181877).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54181877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 125497 + ... + 125927.

Almost surely, 2^54181872 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 54181872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79401168).

54181872 is an abundant number, since it is smaller than the sum of its proper divisors (104620464).

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

54181872 is a wasteful number, since it uses less digits than its factorization.

54181872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 533 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 54181872 is about 7360.8336484396. The cubic root of 54181872 is about 378.4001808735.

The spelling of 54181872 in words is "fifty-four million, one hundred eighty-one thousand, eight hundred seventy-two".