9072092160 has 528 divisors, whose sum is σ = 34292424816. Its totient is φ = 2208301056.

The previous prime is 9072092153. The next prime is 9072092173. The reversal of 9072092160 is 612902709.

It can be written as a sum of positive squares in 8 ways, for example, as 21233664 + 9050858496 = 4608^2 + 95136^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28984164 + ... + 28984476.

Almost surely, 2^9072092160 is an apocalyptic number.

9072092160 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 9072092160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17146212408).

9072092160 is an abundant number, since it is smaller than the sum of its proper divisors (25220332656).

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

9072092160 is a wasteful number, since it uses less digits than its factorization.

9072092160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 9072092160 is about 95247.5309916220. The cubic root of 9072092160 is about 2085.6230493113.

Adding to 9072092160 its reverse (612902709), we get a palindrome (9684994869).

The spelling of 9072092160 in words is "nine billion, seventy-two million, ninety-two thousand, one hundred sixty".