9985272 has 64 divisors (see below), whose sum is σ = 27561600. Its totient is φ = 2989440.

The previous prime is 9985267. The next prime is 9985303. The reversal of 9985272 is 2725899.

9985272 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 28603 + ... + 28949.

It is an arithmetic number, because the mean of its divisors is an integer number (430650).

Almost surely, 2^9985272 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 9985272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13780800).

9985272 is an abundant number, since it is smaller than the sum of its proper divisors (17576328).

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

9985272 is a wasteful number, since it uses less digits than its factorization.

9985272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 472 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 9985272 is about 3159.9481008396. The cubic root of 9985272 is about 215.3376486551.

The spelling of 9985272 in words is "nine million, nine hundred eighty-five thousand, two hundred seventy-two".