96072 has 16 divisors (see below), whose sum is σ = 240240. Its totient is φ = 32016.

The previous prime is 96059. The next prime is 96079. The reversal of 96072 is 27069.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 4003 = 96072 / (9 + 6 + 0 + 7 + 2).

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (96079) by changing a digit.

96072 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 3 ways as a sum of consecutive naturals, for example, 1978 + ... + 2025.

It is an arithmetic number, because the mean of its divisors is an integer number (15015).

2⁹⁶⁰⁷² is an apocalyptic number.

It is an amenable number.

96072 is an abundant number, since it is smaller than the sum of its proper divisors (144168).

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 (120120).

96072 is a wasteful number, since it uses less digits than its factorization.

96072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4012 (or 4008 counting only the distinct ones).

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

The square root of 96072 is about 309.9548354196. The cubic root of 96072 is about 45.8000139840.

The spelling of 96072 in words is "ninety-six thousand, seventy-two".