56914272 has 96 divisors (see below), whose sum is σ = 174787200. Its totient is φ = 17967744.

The previous prime is 56914271. The next prime is 56914279. The reversal of 56914272 is 27241965.

It is a tau number, because it is divible by the number of its divisors (96).

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 (56914271) 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 15 ways as a sum of consecutive naturals, for example, 14683 + ... + 18149.

It is an arithmetic number, because the mean of its divisors is an integer number (1820700).

Almost surely, 2^56914272 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 56914272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87393600).

56914272 is an abundant number, since it is smaller than the sum of its proper divisors (117872928).

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

56914272 is a wasteful number, since it uses less digits than its factorization.

56914272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3505 (or 3491 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 56914272 is about 7544.1548234378. The cubic root of 56914272 is about 384.6570781304.

It can be divided in two parts, 569 and 14272, that added together give a palindrome (14841).

The spelling of 56914272 in words is "fifty-six million, nine hundred fourteen thousand, two hundred seventy-two".