54588072 has 128 divisors (see below), whose sum is σ = 172339200. Its totient is φ = 13996800.

The previous prime is 54588067. The next prime is 54588077. The reversal of 54588072 is 27088545.

It is an interprime number because it is at equal distance from previous prime (54588067) and next prime (54588077).

It is a self number, because there is not a number n which added to its sum of digits gives 54588072.

It is not an unprimeable number, because it can be changed into a prime (54588077) 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 31 ways as a sum of consecutive naturals, for example, 201297 + ... + 201567.

It is an arithmetic number, because the mean of its divisors is an integer number (1346400).

Almost surely, 2^54588072 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 54588072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86169600).

54588072 is an abundant number, since it is smaller than the sum of its proper divisors (117751128).

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

54588072 is a wasteful number, since it uses less digits than its factorization.

54588072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 39.

The square root of 54588072 is about 7388.3741107229. The cubic root of 54588072 is about 379.3434461478.

It can be divided in two parts, 5458 and 8072, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 54588072 in words is "fifty-four million, five hundred eighty-eight thousand, seventy-two".