56587472 has 60 divisors (see below), whose sum is σ = 118062756. Its totient is φ = 26265600.

The previous prime is 56587469. The next prime is 56587477. The reversal of 56587472 is 27478565.

It can be written as a sum of positive squares in 2 ways, for example, as 42719296 + 13868176 = 6536^2 + 3724^2 .

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56587477) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 560222 + ... + 560322.

Almost surely, 2^56587472 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 56587472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59031378).

56587472 is an abundant number, since it is smaller than the sum of its proper divisors (61475284).

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

56587472 is a wasteful number, since it uses less digits than its factorization.

56587472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 219 counting only the distinct ones).

The product of its digits is 470400, while the sum is 44.

The square root of 56587472 is about 7522.4644897799. The cubic root of 56587472 is about 383.9194347764.

The spelling of 56587472 in words is "fifty-six million, five hundred eighty-seven thousand, four hundred seventy-two".