56732256 has 144 divisors (see below), whose sum is σ = 186810624. Its totient is φ = 15996672.

The previous prime is 56732251. The next prime is 56732261. The reversal of 56732256 is 65223765.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (56732251) and next prime (56732261).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 56732256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56732251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215581 + ... + 215843.

It is an arithmetic number, because the mean of its divisors is an integer number (1297296).

Almost surely, 2^56732256 is an apocalyptic number.

56732256 is a gapful number since it is divisible by the number (56) 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 56732256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93405312).

56732256 is an abundant number, since it is smaller than the sum of its proper divisors (130078368).

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

56732256 is a wasteful number, since it uses less digits than its factorization.

56732256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 382 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 56732256 is about 7532.0817839426. The cubic root of 56732256 is about 384.2465864118.

It can be divided in two parts, 567 and 32256, that added together give a palindrome (32823).

The spelling of 56732256 in words is "fifty-six million, seven hundred thirty-two thousand, two hundred fifty-six".