56072 has 16 divisors (see below), whose sum is σ = 108240. Its totient is φ = 27216.

The previous prime is 56053. The next prime is 56081. The reversal of 56072 is 27065.

56072 is a modest number, since divided by 72 gives 56 as remainder.

It is an unprimeable number.

56072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 263 + ... + 425.

It is an arithmetic number, because the mean of its divisors is an integer number (6765).

2⁵⁶⁰⁷² is an apocalyptic number.

It is an amenable number.

56072 is a deficient number, since it is larger than the sum of its proper divisors (52168).

56072 is a wasteful number, since it uses less digits than its factorization.

56072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 56072 is about 236.7952702230. The cubic root of 56072 is about 38.2750131864.

The spelling of 56072 in words is "fifty-six thousand, seventy-two".