9072473760 has 288 divisors, whose sum is σ = 35833674240. Its totient is φ = 2047279104.

The previous prime is 9072473737. The next prime is 9072473771. The reversal of 9072473760 is 673742709.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 790624 + ... + 802016.

It is an arithmetic number, because the mean of its divisors is an integer number (124422480).

Almost surely, 2^9072473760 is an apocalyptic number.

9072473760 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 9072473760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17916837120).

9072473760 is an abundant number, since it is smaller than the sum of its proper divisors (26761200480).

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

9072473760 is a wasteful number, since it uses less digits than its factorization.

9072473760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11500 (or 11489 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 9072473760 is about 95249.5341720893. The cubic root of 9072473760 is about 2085.6522914671.

The spelling of 9072473760 in words is "nine billion, seventy-two million, four hundred seventy-three thousand, seven hundred sixty".