56806272 has 80 divisors (see below), whose sum is σ = 169085400. Its totient is φ = 18931968.

The previous prime is 56806271. The next prime is 56806283. The reversal of 56806272 is 27260865.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56806271) 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 9 ways as a sum of consecutive naturals, for example, 7629 + ... + 13107.

Almost surely, 2^56806272 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 56806272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84542700).

56806272 is an abundant number, since it is smaller than the sum of its proper divisors (112279128).

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

56806272 is an equidigital number, since it uses as much as digits as its factorization.

56806272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5505 (or 5484 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 56806272 is about 7536.9935650762. The cubic root of 56806272 is about 384.4136168221.

The spelling of 56806272 in words is "fifty-six million, eight hundred six thousand, two hundred seventy-two".