76056 has 16 divisors (see below), whose sum is σ = 190200. Its totient is φ = 25344.

The previous prime is 76039. The next prime is 76079. The reversal of 76056 is 65067.

76056 = T₅ + T₆ + ... + T₇₆.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 3169 = 76056 / (7 + 6 + 0 + 5 + 6).

It is an Ulam number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 76056.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1561 + ... + 1608.

2⁷⁶⁰⁵⁶ is an apocalyptic number.

It is an amenable number.

76056 is an abundant number, since it is smaller than the sum of its proper divisors (114144).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95100).

76056 is a wasteful number, since it uses less digits than its factorization.

76056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3178 (or 3174 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 76056 is about 275.7825230141. The cubic root of 76056 is about 42.3686370655.

The spelling of 76056 in words is "seventy-six thousand, fifty-six".