72056 has 8 divisors (see below), whose sum is σ = 135120. Its totient is φ = 36024.

The previous prime is 72053. The next prime is 72073. The reversal of 72056 is 65027.

It is a tau number, because it is divible by the number of its divisors (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4496 + ... + 4511.

It is an arithmetic number, because the mean of its divisors is an integer number (16890).

2⁷²⁰⁵⁶ is an apocalyptic number.

It is an amenable number.

72056 is a deficient number, since it is larger than the sum of its proper divisors (63064).

72056 is a wasteful number, since it uses less digits than its factorization.

72056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9013 (or 9009 counting only the distinct ones).

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

The square root of 72056 is about 268.4324868566. The cubic root of 72056 is about 41.6124592858.

The spelling of 72056 in words is "seventy-two thousand, fifty-six".