96281472 has 256 divisors, whose sum is σ = 323136000. Its totient is φ = 25288704.

The previous prime is 96281461. The next prime is 96281483. The reversal of 96281472 is 27418269.

It is an interprime number because it is at equal distance from previous prime (96281461) and next prime (96281483).

Its product of digits (48384) is a multiple of the sum of its prime divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 96281472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2239083 + ... + 2239125.

It is an arithmetic number, because the mean of its divisors is an integer number (1262250).

Almost surely, 2^96281472 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 96281472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161568000).

96281472 is an abundant number, since it is smaller than the sum of its proper divisors (226854528).

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

96281472 is a wasteful number, since it uses less digits than its factorization.

96281472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 72 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 96281472 is about 9812.3122657200. The cubic root of 96281472 is about 458.3327673235.

The spelling of 96281472 in words is "ninety-six million, two hundred eighty-one thousand, four hundred seventy-two".