55558272 has 128 divisors (see below), whose sum is σ = 184089600. Its totient is φ = 14423040.

The previous prime is 55558259. The next prime is 55558273. The reversal of 55558272 is 27285555.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 55558272.

It is not an unprimeable number, because it can be changed into a prime (55558273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28629 + ... + 30507.

It is an arithmetic number, because the mean of its divisors is an integer number (1438200).

Almost surely, 2^55558272 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 55558272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92044800).

55558272 is an abundant number, since it is smaller than the sum of its proper divisors (128531328).

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

55558272 is a wasteful number, since it uses less digits than its factorization.

55558272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914 (or 1902 counting only the distinct ones).

The product of its digits is 140000, while the sum is 39.

The square root of 55558272 is about 7453.7421474049. The cubic root of 55558272 is about 381.5776331884.

The spelling of 55558272 in words is "fifty-five million, five hundred fifty-eight thousand, two hundred seventy-two".