9763872 has 96 divisors (see below), whose sum is σ = 27760320. Its totient is φ = 2995200.

The previous prime is 9763841. The next prime is 9763879. The reversal of 9763872 is 2783679.

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

It is a d-powerful number, because it can be written as 9⁶ + 7² + 6² + 3⁹ + 8³ + 7⁷ + 2²³ .

It is not an unprimeable number, because it can be changed into a prime (9763879) 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, 96622 + ... + 96722.

It is an arithmetic number, because the mean of its divisors is an integer number (289170).

Almost surely, 2^9763872 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 9763872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13880160).

9763872 is an abundant number, since it is smaller than the sum of its proper divisors (17996448).

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

9763872 is a wasteful number, since it uses less digits than its factorization.

9763872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 178 counting only the distinct ones).

The product of its digits is 127008, while the sum is 42.

The square root of 9763872 is about 3124.7195074118. The cubic root of 9763872 is about 213.7342028611.

The spelling of 9763872 in words is "nine million, seven hundred sixty-three thousand, eight hundred seventy-two".