55956672 has 84 divisors (see below), whose sum is σ = 168864280. Its totient is φ = 17667072.

The previous prime is 55956661. The next prime is 55956679. The reversal of 55956672 is 27665955.

It is a super-3 number, since 3×55956672³ (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (55956679) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8388 + ... + 13500.

Almost surely, 2^55956672 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 55956672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84432140).

55956672 is an abundant number, since it is smaller than the sum of its proper divisors (112907608).

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

55956672 is a wasteful number, since it uses less digits than its factorization.

55956672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5150 (or 5137 counting only the distinct ones).

The product of its digits is 567000, while the sum is 45.

The square root of 55956672 is about 7480.4192395881. The cubic root of 55956672 is about 382.4875402836.

The spelling of 55956672 in words is "fifty-five million, nine hundred fifty-six thousand, six hundred seventy-two".