736832 has 28 divisors (see below), whose sum is σ = 1516380. Its totient is φ = 354816.

The previous prime is 736823. The next prime is 736843. The reversal of 736832 is 238637.

It can be written as a sum of positive squares in 2 ways, for example, as 440896 + 295936 = 664^2 + 544^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 736795 and 736804.

It is a congruent number.

It is an unprimeable number.

736832 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 3 ways as a sum of consecutive naturals, for example, 1658 + ... + 2054.

2⁷³⁶⁸³² 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 736832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758190).

736832 is an abundant number, since it is smaller than the sum of its proper divisors (779548).

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

736832 is a wasteful number, since it uses less digits than its factorization.

736832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 428 counting only the distinct ones).

The product of its digits is 6048, while the sum is 29.

The square root of 736832 is about 858.3891891211. The cubic root of 736832 is about 90.3211571424.

The spelling of 736832 in words is "seven hundred thirty-six thousand, eight hundred thirty-two".