738208 has 48 divisors (see below), whose sum is σ = 1632960. Its totient is φ = 326656.

The previous prime is 738197. The next prime is 738211. The reversal of 738208 is 802837.

It is a happy number.

It is a congruent number.

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, 12483 + ... + 12541.

It is an arithmetic number, because the mean of its divisors is an integer number (34020).

2⁷³⁸²⁰⁸ 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 738208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816480).

738208 is an abundant number, since it is smaller than the sum of its proper divisors (894752).

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

738208 is a wasteful number, since it uses less digits than its factorization.

738208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 738208 is about 859.1903165190. The cubic root of 738208 is about 90.3773457212.

It can be divided in two parts, 738 and 208, that added together give a triangular number (946 = T₄₃).

The spelling of 738208 in words is "seven hundred thirty-eight thousand, two hundred eight".