55827072 has 288 divisors, whose sum is σ = 199536480. Its totient is φ = 14902272.

The previous prime is 55827067. The next prime is 55827137. The reversal of 55827072 is 27072855.

55827072 is a `hidden beast` number, since 5 + 582 + 7 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1298283 + ... + 1298325.

It is an arithmetic number, because the mean of its divisors is an integer number (692835).

Almost surely, 2^55827072 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 55827072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99768240).

55827072 is an abundant number, since it is smaller than the sum of its proper divisors (143709408).

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

55827072 is a wasteful number, since it uses less digits than its factorization.

55827072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 55827072 is about 7471.7516018669. The cubic root of 55827072 is about 382.1920217310.

The spelling of 55827072 in words is "fifty-five million, eight hundred twenty-seven thousand, seventy-two".