56177872 has 40 divisors (see below), whose sum is σ = 115383240. Its totient is φ = 26449920.

The previous prime is 56177783. The next prime is 56177879. The reversal of 56177872 is 27877165.

It can be written as a sum of positive squares in 4 ways, for example, as 4682896 + 51494976 = 2164^2 + 7176^2 .

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56177879) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17548 + ... + 20500.

It is an arithmetic number, because the mean of its divisors is an integer number (2884581).

Almost surely, 2^56177872 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 56177872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57691620).

56177872 is an abundant number, since it is smaller than the sum of its proper divisors (59205368).

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

56177872 is a wasteful number, since it uses less digits than its factorization.

56177872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3031 (or 3025 counting only the distinct ones).

The product of its digits is 164640, while the sum is 43.

The square root of 56177872 is about 7495.1899242114. The cubic root of 56177872 is about 382.9908761719.

The spelling of 56177872 in words is "fifty-six million, one hundred seventy-seven thousand, eight hundred seventy-two".