56458272 has 96 divisors (see below), whose sum is σ = 168073920. Its totient is φ = 16450560.

The previous prime is 56458267. The next prime is 56458279. The reversal of 56458272 is 27285465.

56458272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (39).

It is a self number, because there is not a number n which added to its sum of digits gives 56458272.

It is not an unprimeable number, because it can be changed into a prime (56458279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22522 + ... + 24902.

It is an arithmetic number, because the mean of its divisors is an integer number (1750770).

Almost surely, 2^56458272 is an apocalyptic number.

56458272 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56458272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84036960).

56458272 is an abundant number, since it is smaller than the sum of its proper divisors (111615648).

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

56458272 is a wasteful number, since it uses less digits than its factorization.

56458272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2418 counting only the distinct ones).

The product of its digits is 134400, while the sum is 39.

The square root of 56458272 is about 7513.8719712276. The cubic root of 56458272 is about 383.6270250035.

The spelling of 56458272 in words is "fifty-six million, four hundred fifty-eight thousand, two hundred seventy-two".