96363072 has 168 divisors, whose sum is σ = 315367416. Its totient is φ = 27869184.

The previous prime is 96363017. The next prime is 96363073. The reversal of 96363072 is 27036369.

It can be written as a sum of positive squares in 4 ways, for example, as 14930496 + 81432576 = 3864^2 + 9024^2 .

It is a super-3 number, since 3×96363072³ (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (96363073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126918 + ... + 127674.

It is an arithmetic number, because the mean of its divisors is an integer number (1877187).

Almost surely, 2^96363072 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 96363072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157683708).

96363072 is an abundant number, since it is smaller than the sum of its proper divisors (219004344).

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

96363072 is a wasteful number, since it uses less digits than its factorization.

96363072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 96363072 is about 9816.4694264282. The cubic root of 96363072 is about 458.4622120731.

The spelling of 96363072 in words is "ninety-six million, three hundred sixty-three thousand, seventy-two".