72696 has 32 divisors (see below), whose sum is σ = 196560. Its totient is φ = 22272.

The previous prime is 72689. The next prime is 72701. The reversal of 72696 is 69627.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72696.

It is an unprimeable number.

72696 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 7 ways as a sum of consecutive naturals, for example, 196 + ... + 428.

2⁷²⁶⁹⁶ is an apocalyptic number.

72696 is the 156-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98280).

72696 is an abundant number, since it is smaller than the sum of its proper divisors (123864).

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

72696 is a wasteful number, since it uses less digits than its factorization.

72696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 251 counting only the distinct ones).

The product of its digits is 4536, while the sum is 30.

The square root of 72696 is about 269.6219575628. The cubic root of 72696 is about 41.7352966738.

It can be divided in two parts, 726 and 96, that multiplied together give a palindrome (69696).

The spelling of 72696 in words is "seventy-two thousand, six hundred ninety-six".