76296 has 48 divisors (see below), whose sum is σ = 221040. Its totient is φ = 21760.

The previous prime is 76289. The next prime is 76303. The reversal of 76296 is 69267.

It is an interprime number because it is at equal distance from previous prime (76289) and next prime (76303).

It is a d-powerful number, because it can be written as **7**^{5} + **6**^{3} + **2**^{3} + **9**^{5} + **6**^{3} .

Its product of digits (4536) is a multiple of the sum of its prime factors (54).

It is an unprimeable number.

76296 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 (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4480 + ... + 4496.

It is an arithmetic number, because the mean of its divisors is an integer number (4605).

2^{76296} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110520).

76296 is an abundant number, since it is smaller than the sum of its proper divisors (144744).

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

76296 is a wasteful number, since it uses less digits than its factorization.

76296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 33 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 76296 is about 276.2173057576. The cubic root of 76296 is about 42.4131559982.

It can be divided in two parts, 762 and 96, that added together give a palindrome (858).

The spelling of 76296 in words is "seventy-six thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 289 374 408 561 578 748 867 1122 1156 1496 1734 2244 2312 3179 3468 4488 6358 6936 9537 12716 19074 25432 38148 76296

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