9707427072 has 288 divisors, whose sum is σ = 32963669760. Its totient is φ = 2760376320.

The previous prime is 9707427071. The next prime is 9707427073. The reversal of 9707427072 is 2707247079.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9707427071) and next prime (9707427073).

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9707427071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15143872 + ... + 15144512.

Almost surely, 2^9707427072 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 9707427072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16481834880).

9707427072 is an abundant number, since it is smaller than the sum of its proper divisors (23256242688).

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

9707427072 is a wasteful number, since it uses less digits than its factorization.

9707427072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 45.

The square root of 9707427072 is about 98526.2760485750. The cubic root of 9707427072 is about 2133.2154094539.

The spelling of 9707427072 in words is "nine billion, seven hundred seven million, four hundred twenty-seven thousand, seventy-two".