72736 has 12 divisors (see below), whose sum is σ = 143262. Its totient is φ = 36352.

The previous prime is 72733. The next prime is 72739. The reversal of 72736 is 63727.

It is an interprime number because it is at equal distance from previous prime (72733) and next prime (72739).

It can be written as a sum of positive squares in only one way, i.e., 48400 + 24336 = 220^2 + 156^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 72736.

It is not an unprimeable number, because it can be changed into a prime (72733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1105 + ... + 1168.

2⁷²⁷³⁶ is an apocalyptic number.

It is an amenable number.

72736 is a deficient number, since it is larger than the sum of its proper divisors (70526).

72736 is a wasteful number, since it uses less digits than its factorization.

72736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2283 (or 2275 counting only the distinct ones).

The product of its digits is 1764, while the sum is 25.

The square root of 72736 is about 269.6961252966. The cubic root of 72736 is about 41.7429500329.

Subtracting from 72736 its reverse (63727), we obtain a palindrome (9009).

It can be divided in two parts, 72 and 736, that added together give a palindrome (808).

The spelling of 72736 in words is "seventy-two thousand, seven hundred thirty-six".