9629752 has 64 divisors (see below), whose sum is σ = 21500640. Its totient is φ = 3993600.

The previous prime is 9629749. The next prime is 9629759. The reversal of 9629752 is 2579269.

It is a happy number.

9629752 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9629759) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61258 + ... + 61414.

Almost surely, 2^9629752 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 9629752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10750320).

9629752 is an abundant number, since it is smaller than the sum of its proper divisors (11870888).

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

9629752 is a wasteful number, since it uses less digits than its factorization.

9629752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 228 counting only the distinct ones).

The product of its digits is 68040, while the sum is 40.

The square root of 9629752 is about 3103.1841711378. The cubic root of 9629752 is about 212.7510444793.

The spelling of 9629752 in words is "nine million, six hundred twenty-nine thousand, seven hundred fifty-two".