55405672 has 96 divisors (see below), whose sum is σ = 130917600. Its totient is φ = 21845376.

The previous prime is 55405663. The next prime is 55405673. The reversal of 55405672 is 27650455.

55405672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (55405673) 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 23 ways as a sum of consecutive naturals, for example, 320178 + ... + 320350.

It is an arithmetic number, because the mean of its divisors is an integer number (1363725).

Almost surely, 2^55405672 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 55405672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65458800).

55405672 is an abundant number, since it is smaller than the sum of its proper divisors (75511928).

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

55405672 is a wasteful number, since it uses less digits than its factorization.

55405672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 34.

The square root of 55405672 is about 7443.4986397527. The cubic root of 55405672 is about 381.2279574464.

The spelling of 55405672 in words is "fifty-five million, four hundred five thousand, six hundred seventy-two".