76524 has 24 divisors (see below), whose sum is σ = 204288. Its totient is φ = 21840.

The previous prime is 76519. The next prime is 76537. The reversal of 76524 is 42567.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 76494 and 76503.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 372 + ... + 539.

It is an arithmetic number, because the mean of its divisors is an integer number (8512).

2⁷⁶⁵²⁴ is an apocalyptic number.

It is an amenable number.

76524 is an abundant number, since it is smaller than the sum of its proper divisors (127764).

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 (102144).

76524 is a wasteful number, since it uses less digits than its factorization.

76524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925 (or 923 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 76524 is about 276.6297164081. The cubic root of 76524 is about 42.4553625920.

The spelling of 76524 in words is "seventy-six thousand, five hundred twenty-four".