76536 has 24 divisors (see below), whose sum is σ = 207480. Its totient is φ = 25488.

The previous prime is 76519. The next prime is 76537. The reversal of 76536 is 63567.

76536 is a `hidden beast` number, since 7 + 653 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76537) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 460 + ... + 603.

It is an arithmetic number, because the mean of its divisors is an integer number (8645).

2⁷⁶⁵³⁶ is an apocalyptic number.

It is an amenable number.

76536 is an abundant number, since it is smaller than the sum of its proper divisors (130944).

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

76536 is a wasteful number, since it uses less digits than its factorization.

76536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075 (or 1068 counting only the distinct ones).

The product of its digits is 3780, while the sum is 27.

The square root of 76536 is about 276.6514052016. The cubic root of 76536 is about 42.4575816680.

The spelling of 76536 in words is "seventy-six thousand, five hundred thirty-six".