9725040 has 120 divisors (see below), whose sum is σ = 35206080. Its totient is φ = 2391552.

The previous prime is 9725039. The next prime is 9725059. The reversal of 9725040 is 405279.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 9724995 and 9725013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8841 + ... + 9879.

It is an arithmetic number, because the mean of its divisors is an integer number (293384).

Almost surely, 2^9725040 is an apocalyptic number.

9725040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9725040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17603040).

9725040 is an abundant number, since it is smaller than the sum of its proper divisors (25481040).

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

9725040 is a wasteful number, since it uses less digits than its factorization.

9725040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 9725040 is about 3118.4996392496. The cubic root of 9725040 is about 213.4504781968.

The spelling of 9725040 in words is "nine million, seven hundred twenty-five thousand, forty".