56142720 has 288 divisors, whose sum is σ = 212186520. Its totient is φ = 14183424.

The previous prime is 56142707. The next prime is 56142733. The reversal of 56142720 is 2724165.

56142720 is a `hidden beast` number, since 5 + 614 + 27 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (56142707) and next prime (56142733).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 2954871 + ... + 2954889.

Almost surely, 2^56142720 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 56142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106093260).

56142720 is an abundant number, since it is smaller than the sum of its proper divisors (156043800).

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

56142720 is an equidigital number, since it uses as much as digits as its factorization.

56142720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 56142720 is about 7492.8445866707. The cubic root of 56142720 is about 382.9109769530.

Adding to 56142720 its reverse (2724165), we get a palindrome (58866885).

The spelling of 56142720 in words is "fifty-six million, one hundred forty-two thousand, seven hundred twenty".