72996 has 48 divisors (see below), whose sum is σ = 215040. Its totient is φ = 18720.

The previous prime is 72977. The next prime is 72997. The reversal of 72996 is 69927.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (72997) by changing a digit.

72996 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 885 + ... + 963.

It is an arithmetic number, because the mean of its divisors is an integer number (4480).

2⁷²⁹⁹⁶ 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 72996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107520).

72996 is an abundant number, since it is smaller than the sum of its proper divisors (142044).

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

72996 is a wasteful number, since it uses less digits than its factorization.

72996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 102 counting only the distinct ones).

The product of its digits is 6804, while the sum is 33.

The square root of 72996 is about 270.1777192886. The cubic root of 72996 is about 41.7926286002.

Adding to 72996 its product of digits (6804), we get a triangular number (79800 = T₃₉₉).

It can be divided in two parts, 7 and 2996, that added together give a palindrome (3003).

The spelling of 72996 in words is "seventy-two thousand, nine hundred ninety-six".