56432736 has 72 divisors (see below), whose sum is σ = 168943320. Its totient is φ = 17819136.

The previous prime is 56432713. The next prime is 56432737. The reversal of 56432736 is 63723465.

56432736 is a `hidden beast` number, since 5 + 643 + 2 + 7 + 3 + 6 = 666.

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

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 56432736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56432737) 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 11 ways as a sum of consecutive naturals, for example, 316 + ... + 10628.

It is an arithmetic number, because the mean of its divisors is an integer number (2346435).

Almost surely, 2^56432736 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 56432736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84471660).

56432736 is an abundant number, since it is smaller than the sum of its proper divisors (112510584).

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

56432736 is a wasteful number, since it uses less digits than its factorization.

56432736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10348 (or 10337 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 56432736 is about 7512.1725219806. The cubic root of 56432736 is about 383.5691782866.

The spelling of 56432736 in words is "fifty-six million, four hundred thirty-two thousand, seven hundred thirty-six".