96672166272 has 768 divisors, whose sum is σ = 340262208000. Its totient is φ = 25984696320.

The previous prime is 96672166267. The next prime is 96672166291. The reversal of 96672166272 is 27266127669.

96672166272 is a `hidden beast` number, since 9 + 6 + 6 + 7 + 2 + 1 + 6 + 627 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 540067879 + ... + 540068057.

It is an arithmetic number, because the mean of its divisors is an integer number (443049750).

Almost surely, 2^96672166272 is an apocalyptic number.

96672166272 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96672166272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170131104000).

96672166272 is an abundant number, since it is smaller than the sum of its proper divisors (243590041728).

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

96672166272 is a wasteful number, since it uses less digits than its factorization.

96672166272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 344 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 96672166272 in words is "ninety-six billion, six hundred seventy-two million, one hundred sixty-six thousand, two hundred seventy-two".