55954272 has 72 divisors (see below), whose sum is σ = 161480088. Its totient is φ = 16952320.

The previous prime is 55954267. The next prime is 55954279. The reversal of 55954272 is 27245955.

55954272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×55954272³ (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 55954272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55954279) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 9208 + ... + 14024.

It is an arithmetic number, because the mean of its divisors is an integer number (2242779).

Almost surely, 2^55954272 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 55954272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80740044).

55954272 is an abundant number, since it is smaller than the sum of its proper divisors (105525816).

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

55954272 is a wasteful number, since it uses less digits than its factorization.

55954272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4852 (or 4833 counting only the distinct ones).

The product of its digits is 126000, while the sum is 39.

The square root of 55954272 is about 7480.2588190517. The cubic root of 55954272 is about 382.4820718668.

The spelling of 55954272 in words is "fifty-five million, nine hundred fifty-four thousand, two hundred seventy-two".