736368 has 60 divisors (see below), whose sum is σ = 2057160. Its totient is φ = 226688.

The previous prime is 736367. The next prime is 736369. The reversal of 736368 is 863637.

It is a happy number.

736368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (736367) and next prime (736369).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (736361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25378 + ... + 25406.

It is an arithmetic number, because the mean of its divisors is an integer number (34286).

2⁷³⁶³⁶⁸ 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 736368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028580).

736368 is an abundant number, since it is smaller than the sum of its proper divisors (1320792).

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

736368 is a wasteful number, since it uses less digits than its factorization.

736368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 57 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 736368 is about 858.1188728842. The cubic root of 736368 is about 90.3021940603.

It can be divided in two parts, 73 and 6368, that added together give a triangular number (6441 = T₁₁₃).

The spelling of 736368 in words is "seven hundred thirty-six thousand, three hundred sixty-eight".