739368 has 80 divisors (see below), whose sum is σ = 2381280. Its totient is φ = 209952.

The previous prime is 739363. The next prime is 739369. The reversal of 739368 is 863937.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (739363) by changing a digit.

739368 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 (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4455 + ... + 4617.

It is an arithmetic number, because the mean of its divisors is an integer number (29766).

2⁷³⁹³⁶⁸ 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 739368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190640).

739368 is an abundant number, since it is smaller than the sum of its proper divisors (1641912).

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

739368 is a wasteful number, since it uses less digits than its factorization.

739368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 175 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 739368 is about 859.8651056997. The cubic root of 739368 is about 90.4246597826.

The spelling of 739368 in words is "seven hundred thirty-nine thousand, three hundred sixty-eight".