9417126072 has 128 divisors (see below), whose sum is σ = 25285685760. Its totient is φ = 2915827200.

The previous prime is 9417126011. The next prime is 9417126079. The reversal of 9417126072 is 2706217149.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 9417126072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9417126079) 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, 2953263 + ... + 2956449.

It is an arithmetic number, because the mean of its divisors is an integer number (197544420).

Almost surely, 2^9417126072 is an apocalyptic number.

9417126072 is a gapful number since it is divisible by the number (92) 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 9417126072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12642842880).

9417126072 is an abundant number, since it is smaller than the sum of its proper divisors (15868559688).

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

9417126072 is a wasteful number, since it uses less digits than its factorization.

9417126072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3373 (or 3369 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 9417126072 is about 97041.8779290673. The cubic root of 9417126072 is about 2111.7352116531.

The spelling of 9417126072 in words is "nine billion, four hundred seventeen million, one hundred twenty-six thousand, seventy-two".