9965920272 has 240 divisors, whose sum is σ = 32900465664. Its totient is φ = 2570400000.

The previous prime is 9965920253. The next prime is 9965920297. The reversal of 9965920272 is 2720295699.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3905397 + ... + 3907947.

Almost surely, 2^9965920272 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 9965920272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16450232832).

9965920272 is an abundant number, since it is smaller than the sum of its proper divisors (22934545392).

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

9965920272 is a wasteful number, since it uses less digits than its factorization.

9965920272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2738 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 51.

The square root of 9965920272 is about 99829.4559336071. The cubic root of 9965920272 is about 2151.9844862367.

The spelling of 9965920272 in words is "nine billion, nine hundred sixty-five million, nine hundred twenty thousand, two hundred seventy-two".