738144 has 72 divisors (see below), whose sum is σ = 2299752. Its totient is φ = 222720.

The previous prime is 738121. The next prime is 738151. The reversal of 738144 is 441837.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

738144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3052 + ... + 3284.

It is an arithmetic number, because the mean of its divisors is an integer number (31941).

2⁷³⁸¹⁴⁴ 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 738144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149876).

738144 is an abundant number, since it is smaller than the sum of its proper divisors (1561608).

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

738144 is a wasteful number, since it uses less digits than its factorization.

738144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 249 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 738144 is about 859.1530713441. The cubic root of 738144 is about 90.3747338479.

The spelling of 738144 in words is "seven hundred thirty-eight thousand, one hundred forty-four".