9752736 has 96 divisors (see below), whose sum is σ = 30578688. Its totient is φ = 2661120.

The previous prime is 9752731. The next prime is 9752737. The reversal of 9752736 is 6372579.

9752736 is a nontrivial binomial coefficient, being equal to C(4417, 2).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 9752694 and 9752703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9752731) 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, 15141 + ... + 15771.

It is an arithmetic number, because the mean of its divisors is an integer number (318528).

Almost surely, 2^9752736 is an apocalyptic number.

9752736 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

9752736 is the 4416-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9752736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15289344).

9752736 is an abundant number, since it is smaller than the sum of its proper divisors (20825952).

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

9752736 is a wasteful number, since it uses less digits than its factorization.

9752736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 666 counting only the distinct ones).

The product of its digits is 79380, while the sum is 39.

The square root of 9752736 is about 3122.9370790972. The cubic root of 9752736 is about 213.6529151120.

The spelling of 9752736 in words is "nine million, seven hundred fifty-two thousand, seven hundred thirty-six".