56395872 has 96 divisors (see below), whose sum is σ = 177176160. Its totient is φ = 17349120.

The previous prime is 56395853. The next prime is 56395877. The reversal of 56395872 is 27859365.

It is a happy number.

56395872 is a `hidden beast` number, since 5 + 63 + 9 + 587 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56395877) 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, 8722 + ... + 13742.

It is an arithmetic number, because the mean of its divisors is an integer number (1845585).

Almost surely, 2^56395872 is an apocalyptic number.

56395872 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56395872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88588080).

56395872 is an abundant number, since it is smaller than the sum of its proper divisors (120780288).

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

56395872 is a wasteful number, since it uses less digits than its factorization.

56395872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5053 (or 5039 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 56395872 is about 7509.7185033795. The cubic root of 56395872 is about 383.4856394567.

It can be divided in two parts, 5639 and 5872, that added together give a palindrome (11511).

The spelling of 56395872 in words is "fifty-six million, three hundred ninety-five thousand, eight hundred seventy-two".