56073312 has 72 divisors (see below), whose sum is σ = 160962984. Its totient is φ = 18514944.

The previous prime is 56073301. The next prime is 56073317. The reversal of 56073312 is 21337065.

It is a happy number.

56073312 is a `hidden beast` number, since 560 + 73 + 31 + 2 = 666.

56073312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56073317) 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 11 ways as a sum of consecutive naturals, for example, 31683 + ... + 33405.

It is an arithmetic number, because the mean of its divisors is an integer number (2235597).

Almost surely, 2^56073312 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 56073312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80481492).

56073312 is an abundant number, since it is smaller than the sum of its proper divisors (104889672).

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

56073312 is a wasteful number, since it uses less digits than its factorization.

56073312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 56073312 is about 7488.2115354736. The cubic root of 56073312 is about 382.7531170984.

The spelling of 56073312 in words is "fifty-six million, seventy-three thousand, three hundred twelve".