55080272 has 80 divisors (see below), whose sum is σ = 125273232. Its totient is φ = 23224320.

The previous prime is 55080271. The next prime is 55080299. The reversal of 55080272 is 27208055.

It can be written as a sum of positive squares in 8 ways, for example, as 1731856 + 53348416 = 1316^2 + 7304^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55080271) 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 15 ways as a sum of consecutive naturals, for example, 130622 + ... + 131042.

Almost surely, 2^55080272 is an apocalyptic number.

55080272 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 55080272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62636616).

55080272 is an abundant number, since it is smaller than the sum of its proper divisors (70192960).

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

55080272 is a wasteful number, since it uses less digits than its factorization.

55080272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 55080272 is about 7421.6084510031. The cubic root of 55080272 is about 380.4801686258.

The spelling of 55080272 in words is "fifty-five million, eighty thousand, two hundred seventy-two".