72726 has 32 divisors (see below), whose sum is σ = 165888. Its totient is φ = 21120.

The previous prime is 72719. The next prime is 72727. The reversal of 72726 is 62727.

It is a junction number, because it is equal to n+sod(n) for n = 72696 and 72705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2331 + ... + 2361.

It is an arithmetic number, because the mean of its divisors is an integer number (5184).

2⁷²⁷²⁶ is an apocalyptic number.

72726 is an abundant number, since it is smaller than the sum of its proper divisors (93162).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82944).

72726 is a wasteful number, since it uses less digits than its factorization.

72726 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76.

The product of its digits is 1176, while the sum is 24.

The square root of 72726 is about 269.6775852755. The cubic root of 72726 is about 41.7410369562.

Subtracting from 72726 its reverse (62727), we obtain a palindrome (9999).

The spelling of 72726 in words is "seventy-two thousand, seven hundred twenty-six".