56725344 has 144 divisors (see below), whose sum is σ = 176576400. Its totient is φ = 17169408.

The previous prime is 56725267. The next prime is 56725351. The reversal of 56725344 is 44352765.

56725344 is a `hidden beast` number, since 56 + 72 + 534 + 4 = 666.

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 junction number, because it is equal to n+sod(n) for n = 56725299 and 56725308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 408027 + ... + 408165.

It is an arithmetic number, because the mean of its divisors is an integer number (1226225).

Almost surely, 2^56725344 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 56725344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88288200).

56725344 is an abundant number, since it is smaller than the sum of its proper divisors (119851056).

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

56725344 is a wasteful number, since it uses less digits than its factorization.

56725344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 266 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 56725344 is about 7531.6229326753. The cubic root of 56725344 is about 384.2309808259.

The spelling of 56725344 in words is "fifty-six million, seven hundred twenty-five thousand, three hundred forty-four".