72096 has 24 divisors (see below), whose sum is σ = 189504. Its totient is φ = 24000.

The previous prime is 72091. The next prime is 72101. The reversal of 72096 is 69027.

It is an interprime number because it is at equal distance from previous prime (72091) and next prime (72101).

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (72091) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 280 + ... + 471.

It is an arithmetic number, because the mean of its divisors is an integer number (7896).

2⁷²⁰⁹⁶ is an apocalyptic number.

It is an amenable number.

72096 is an abundant number, since it is smaller than the sum of its proper divisors (117408).

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 (94752).

72096 is a wasteful number, since it uses less digits than its factorization.

72096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 72096 is about 268.5069831494. The cubic root of 72096 is about 41.6201578835.

The spelling of 72096 in words is "seventy-two thousand, ninety-six".