56142072 has 80 divisors (see below), whose sum is σ = 179728560. Its totient is φ = 16039296.

The previous prime is 56142059. The next prime is 56142089. The reversal of 56142072 is 27024165.

56142072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1653 + ... + 10724.

It is an arithmetic number, because the mean of its divisors is an integer number (2246607).

Almost surely, 2^56142072 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 56142072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89864280).

56142072 is an abundant number, since it is smaller than the sum of its proper divisors (123586488).

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

56142072 is a wasteful number, since it uses less digits than its factorization.

56142072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12402 (or 12389 counting only the distinct ones).

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

The square root of 56142072 is about 7492.8013452914. The cubic root of 56142072 is about 382.9095037595.

The spelling of 56142072 in words is "fifty-six million, one hundred forty-two thousand, seventy-two".