738432 has 48 divisors (see below), whose sum is σ = 2128230. Its totient is φ = 245760.

The previous prime is 738421. The next prime is 738443. The reversal of 738432 is 234837.

It is an interprime number because it is at equal distance from previous prime (738421) and next prime (738443).

It can be written as a sum of positive squares in only one way, i.e., 484416 + 254016 = 696^2 + 504^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 738396 and 738405.

It is a congruent number.

It is an unprimeable number.

738432 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 5 ways as a sum of consecutive naturals, for example, 832 + ... + 1472.

2⁷³⁸⁴³² is an apocalyptic number.

738432 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 738432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064115).

738432 is an abundant number, since it is smaller than the sum of its proper divisors (1389798).

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

738432 is a wasteful number, since it uses less digits than its factorization.

738432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 646 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 738432 is about 859.3206619185. The cubic root of 738432 is about 90.3864860891.

The spelling of 738432 in words is "seven hundred thirty-eight thousand, four hundred thirty-two".