736032 has 96 divisors (see below), whose sum is σ = 2286144. Its totient is φ = 204800.

The previous prime is 736027. The next prime is 736037. The reversal of 736032 is 230637.

It is an interprime number because it is at equal distance from previous prime (736027) and next prime (736037).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (736037) by changing a digit.

736032 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 15 ways as a sum of consecutive naturals, for example, 17932 + ... + 17972.

It is an arithmetic number, because the mean of its divisors is an integer number (23814).

2⁷³⁶⁰³² 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 736032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143072).

736032 is an abundant number, since it is smaller than the sum of its proper divisors (1550112).

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

736032 is a wasteful number, since it uses less digits than its factorization.

736032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 736032 is about 857.9230734745. The cubic root of 736032 is about 90.2884571999.

Adding to 736032 its reverse (230637), we get a palindrome (966669).

It can be divided in two parts, 73 and 6032, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 736032 in words is "seven hundred thirty-six thousand, thirty-two".