76368 has 40 divisors (see below), whose sum is σ = 207328. Its totient is φ = 24192.

The previous prime is 76367. The next prime is 76369. The reversal of 76368 is 86367.

Added to its reverse (86367) it gives a triangular number (162735 = T₅₇₀).

It is an interprime number because it is at equal distance from previous prime (76367) and next prime (76369).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1755 + ... + 1797.

2⁷⁶³⁶⁸ 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 76368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103664).

76368 is an abundant number, since it is smaller than the sum of its proper divisors (130960).

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

76368 is a wasteful number, since it uses less digits than its factorization.

76368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 85 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 76368 is about 276.3476071907. The cubic root of 76368 is about 42.4264934695.

Adding to 76368 its reverse (86367), we get a triangular number (162735 = T₅₇₀).

Subtracting 76368 from its reverse (86367), we obtain a palindrome (9999).

It can be divided in two parts, 76 and 368, that added together give a palindrome (444).

The spelling of 76368 in words is "seventy-six thousand, three hundred sixty-eight".