9963072 has 126 divisors (see below), whose sum is σ = 33313878. Its totient is φ = 2838528.

The previous prime is 9963067. The next prime is 9963077. The reversal of 9963072 is 2703699.

It is an interprime number because it is at equal distance from previous prime (9963067) and next prime (9963077).

It can be written as a sum of positive squares in only one way, i.e., 8156736 + 1806336 = 2856^2 + 1344^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a cake number, because a cake can be divided into 9963072 parts by 391 planar cuts.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9963077) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28048 + ... + 28400.

Almost surely, 2^9963072 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 9963072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16656939).

9963072 is an abundant number, since it is smaller than the sum of its proper divisors (23350806).

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

9963072 is a wasteful number, since it uses less digits than its factorization.

9963072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 9963072 is about 3156.4334303134. The cubic root of 9963072 is about 215.1779453451.

The spelling of 9963072 in words is "nine million, nine hundred sixty-three thousand, seventy-two".