99772868272 has 320 divisors, whose sum is σ = 252911812608. Its totient is φ = 37013760000.

The previous prime is 99772868243. The next prime is 99772868323. The reversal of 99772868272 is 27286827799.

Its product of digits (85349376) is a multiple of the sum of its prime factors (448).

It is a junction number, because it is equal to n+sod(n) for n = 99772868198 and 99772868207.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 660747397 + ... + 660747547.

Almost surely, 2^99772868272 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 99772868272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126455906304).

99772868272 is an abundant number, since it is smaller than the sum of its proper divisors (153138944336).

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

99772868272 is a wasteful number, since it uses less digits than its factorization.

99772868272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 442 counting only the distinct ones).

The product of its digits is 85349376, while the sum is 67.

The spelling of 99772868272 in words is "ninety-nine billion, seven hundred seventy-two million, eight hundred sixty-eight thousand, two hundred seventy-two".