9762720 has 144 divisors (see below), whose sum is σ = 34346592. Its totient is φ = 2311680.

The previous prime is 9762719. The next prime is 9762721. The reversal of 9762720 is 272679.

9762720 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9762719) and next prime (9762721).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9762721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227019 + ... + 227061.

It is an arithmetic number, because the mean of its divisors is an integer number (238518).

Almost surely, 2^9762720 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 9762720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17173296).

9762720 is an abundant number, since it is smaller than the sum of its proper divisors (24583872).

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

9762720 is a wasteful number, since it uses less digits than its factorization.

9762720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 9762720 is about 3124.5351654286. The cubic root of 9762720 is about 213.7257966508.

The spelling of 9762720 in words is "nine million, seven hundred sixty-two thousand, seven hundred twenty".