736736 has 96 divisors (see below), whose sum is σ = 2032128. Its totient is φ = 253440.

The previous prime is 736721. The next prime is 736741. The reversal of 736736 is 637637.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32021 + ... + 32043.

It is an arithmetic number, because the mean of its divisors is an integer number (21168).

2⁷³⁶⁷³⁶ 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 736736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016064).

736736 is an abundant number, since it is smaller than the sum of its proper divisors (1295392).

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

736736 is a wasteful number, since it uses less digits than its factorization.

736736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 56 counting only the distinct ones).

The product of its digits is 15876, while the sum is 32.

The square root of 736736 is about 858.3332686084. Note that the first 3 decimals coincide. The cubic root of 736736 is about 90.3172343994.

Subtracting from 736736 its reverse (637637), we obtain a palindrome (99099).

The spelling of 736736 in words is "seven hundred thirty-six thousand, seven hundred thirty-six".