55560672 has 72 divisors (see below), whose sum is σ = 159619824. Its totient is φ = 18330624.

The previous prime is 55560629. The next prime is 55560683. The reversal of 55560672 is 27606555.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28728 + ... + 30600.

It is an arithmetic number, because the mean of its divisors is an integer number (2216942).

Almost surely, 2^55560672 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 55560672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79809912).

55560672 is an abundant number, since it is smaller than the sum of its proper divisors (104059152).

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

55560672 is a wasteful number, since it uses less digits than its factorization.

55560672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1992 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 55560672 is about 7453.9031386248. The cubic root of 55560672 is about 381.5831275585.

The spelling of 55560672 in words is "fifty-five million, five hundred sixty thousand, six hundred seventy-two".