55835072 has 112 divisors (see below), whose sum is σ = 128564640. Its totient is φ = 23887872.

The previous prime is 55835057. The next prime is 55835077. The reversal of 55835072 is 27053855.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55835077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 764828 + ... + 764900.

Almost surely, 2^55835072 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 55835072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64282320).

55835072 is an abundant number, since it is smaller than the sum of its proper divisors (72729568).

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

55835072 is a wasteful number, since it uses less digits than its factorization.

55835072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 35.

The square root of 55835072 is about 7472.2869323923. The cubic root of 55835072 is about 382.2102768536.

The spelling of 55835072 in words is "fifty-five million, eight hundred thirty-five thousand, seventy-two".