56259072 has 120 divisors (see below), whose sum is σ = 168365340. Its totient is φ = 18063360.

The previous prime is 56259067. The next prime is 56259083. The reversal of 56259072 is 27095265.

56259072 is a `hidden beast` number, since 5 + 62 + 590 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49787136 + 6471936 = 7056^2 + 2544^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133422 + ... + 133842.

Almost surely, 2^56259072 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 56259072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84182670).

56259072 is an abundant number, since it is smaller than the sum of its proper divisors (112106268).

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

56259072 is a wasteful number, since it uses less digits than its factorization.

56259072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 56259072 is about 7500.6047756164. The cubic root of 56259072 is about 383.1753134870.

The spelling of 56259072 in words is "fifty-six million, two hundred fifty-nine thousand, seventy-two".