96004272 has 160 divisors (see below), whose sum is σ = 315535360. Its totient is φ = 24468480.

The previous prime is 96004261. The next prime is 96004273. The reversal of 96004272 is 27240069.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (96004273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135054 + ... + 135762.

It is an arithmetic number, because the mean of its divisors is an integer number (1972096).

Almost surely, 2^96004272 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 96004272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157767680).

96004272 is an abundant number, since it is smaller than the sum of its proper divisors (219531088).

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

96004272 is a wasteful number, since it uses less digits than its factorization.

96004272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 96004272 is about 9798.1769732946. The cubic root of 96004272 is about 457.8924888918.

The spelling of 96004272 in words is "ninety-six million, four thousand, two hundred seventy-two".