54581072 has 80 divisors (see below), whose sum is σ = 137074560. Its totient is φ = 20445696.

The previous prime is 54581069. The next prime is 54581083. The reversal of 54581072 is 27018545.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 26678 + ... + 28650.

It is an arithmetic number, because the mean of its divisors is an integer number (1713432).

Almost surely, 2^54581072 is an apocalyptic number.

54581072 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54581072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68537280).

54581072 is an abundant number, since it is smaller than the sum of its proper divisors (82493488).

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

54581072 is a wasteful number, since it uses less digits than its factorization.

54581072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2020 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 54581072 is about 7387.9003783213. The cubic root of 54581072 is about 379.3272306540.

The spelling of 54581072 in words is "fifty-four million, five hundred eighty-one thousand, seventy-two".