96272 has 20 divisors (see below), whose sum is σ = 203856. Its totient is φ = 43680.

The previous prime is 96269. The next prime is 96281. The reversal of 96272 is 27269.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 9 + 6⁶ + 2⁵ + 7⁵ + 2¹⁵ .

It is a zygodrome in base 3.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 98 + ... + 449.

2⁹⁶²⁷² is an apocalyptic number.

It is an amenable number.

96272 is an abundant number, since it is smaller than the sum of its proper divisors (107584).

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 (101928).

96272 is a wasteful number, since it uses less digits than its factorization.

96272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 560 counting only the distinct ones).

The product of its digits is 1512, while the sum is 26.

The square root of 96272 is about 310.2772953344. The cubic root of 96272 is about 45.8317736843.

The spelling of 96272 in words is "ninety-six thousand, two hundred seventy-two".