96272384 has 68 divisors (see below), whose sum is σ = 209189316. Its totient is φ = 44040192.

The previous prime is 96272383. The next prime is 96272401. The reversal of 96272384 is 48327269.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6553600 + 89718784 = 2560^2 + 9472^2 .

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

Its product of digits (145152) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96272381) 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, 851912 + ... + 852024.

Almost surely, 2^96272384 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 96272384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104594658).

96272384 is an abundant number, since it is smaller than the sum of its proper divisors (112916932).

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

96272384 is an equidigital number, since it uses as much as digits as its factorization.

96272384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 128 counting only the distinct ones).

The product of its digits is 145152, while the sum is 41.

The square root of 96272384 is about 9811.8491631292. The cubic root of 96272384 is about 458.3183462060.

The spelling of 96272384 in words is "ninety-six million, two hundred seventy-two thousand, three hundred eighty-four".