99972768 has 96 divisors (see below), whose sum is σ = 309657600. Its totient is φ = 27636480.

The previous prime is 99972739. The next prime is 99972791. The reversal of 99972768 is 86727999.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18433 + ... + 23231.

It is an arithmetic number, because the mean of its divisors is an integer number (3225600).

Almost surely, 2^99972768 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 99972768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154828800).

99972768 is an abundant number, since it is smaller than the sum of its proper divisors (209684832).

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

99972768 is a wasteful number, since it uses less digits than its factorization.

99972768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4850 (or 4842 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 57.

The square root of 99972768 is about 9998.6383072896. The cubic root of 99972768 is about 464.1167462871.

The spelling of 99972768 in words is "ninety-nine million, nine hundred seventy-two thousand, seven hundred sixty-eight".