96759672 has 64 divisors (see below), whose sum is σ = 250387200. Its totient is φ = 31138560.

The previous prime is 96759671. The next prime is 96759673. The reversal of 96759672 is 27695769.

It is an interprime number because it is at equal distance from previous prime (96759671) and next prime (96759673).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96759671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104829 + ... + 105747.

It is an arithmetic number, because the mean of its divisors is an integer number (3912300).

Almost surely, 2^96759672 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 96759672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125193600).

96759672 is an abundant number, since it is smaller than the sum of its proper divisors (153627528).

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

96759672 is a wasteful number, since it uses less digits than its factorization.

96759672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1072 counting only the distinct ones).

The product of its digits is 1428840, while the sum is 51.

The square root of 96759672 is about 9836.6494295568. The cubic root of 96759672 is about 459.0903131082.

The spelling of 96759672 in words is "ninety-six million, seven hundred fifty-nine thousand, six hundred seventy-two".