9732672 has 84 divisors (see below), whose sum is σ = 28456636. Its totient is φ = 3179520.

The previous prime is 9732659. The next prime is 9732673. The reversal of 9732672 is 2762379.

It can be written as a sum of positive squares in 2 ways, for example, as 876096 + 8856576 = 936^2 + 2976^2 .

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

It is not an unprimeable number, because it can be changed into a prime (9732673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34998 + ... + 35274.

Almost surely, 2^9732672 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 9732672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14228318).

9732672 is an abundant number, since it is smaller than the sum of its proper divisors (18723964).

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

9732672 is a wasteful number, since it uses less digits than its factorization.

9732672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 343 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 9732672 is about 3119.7230646325. The cubic root of 9732672 is about 213.5063006951.

It can be divided in two parts, 9732 and 672, that added together give a square (10404 = 102²).

The spelling of 9732672 in words is "nine million, seven hundred thirty-two thousand, six hundred seventy-two".