56006772 has 48 divisors (see below), whose sum is σ = 143156160. Its totient is φ = 16963072.

The previous prime is 56006761. The next prime is 56006777. The reversal of 56006772 is 27760065.

56006772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56006777) 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 15 ways as a sum of consecutive naturals, for example, 1183 + ... + 10649.

It is an arithmetic number, because the mean of its divisors is an integer number (2982420).

Almost surely, 2^56006772 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 56006772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71578080).

56006772 is an abundant number, since it is smaller than the sum of its proper divisors (87149388).

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

56006772 is a wasteful number, since it uses less digits than its factorization.

56006772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9520 (or 9518 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 56006772 is about 7483.7672331520. The cubic root of 56006772 is about 382.6016578019.

The spelling of 56006772 in words is "fifty-six million, six thousand, seven hundred seventy-two".