55563072 has 112 divisors (see below), whose sum is σ = 161300160. Its totient is φ = 16801792.

The previous prime is 55563061. The next prime is 55563083. The reversal of 55563072 is 27036555.

55563072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55563061) and next prime (55563083).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94363 + ... + 94949.

It is an arithmetic number, because the mean of its divisors is an integer number (1440180).

Almost surely, 2^55563072 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 55563072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80650080).

55563072 is an abundant number, since it is smaller than the sum of its proper divisors (105737088).

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

55563072 is a wasteful number, since it uses less digits than its factorization.

55563072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 33.

The square root of 55563072 is about 7454.0641263676. The cubic root of 55563072 is about 381.5886217704.

The spelling of 55563072 in words is "fifty-five million, five hundred sixty-three thousand, seventy-two".