9735172272 has 200 divisors, whose sum is σ = 33897036800. Its totient is φ = 2635037568.

The previous prime is 9735172261. The next prime is 9735172283. The reversal of 9735172272 is 2722715379.

It is an interprime number because it is at equal distance from previous prime (9735172261) and next prime (9735172283).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 144129 + ... + 200607.

It is an arithmetic number, because the mean of its divisors is an integer number (169485184).

Almost surely, 2^9735172272 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 9735172272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16948518400).

9735172272 is an abundant number, since it is smaller than the sum of its proper divisors (24161864528).

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

9735172272 is a wasteful number, since it uses less digits than its factorization.

9735172272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56525 (or 56510 counting only the distinct ones).

The product of its digits is 370440, while the sum is 45.

The square root of 9735172272 is about 98666.9766031168. The cubic root of 9735172272 is about 2135.2458200979.

The spelling of 9735172272 in words is "nine billion, seven hundred thirty-five million, one hundred seventy-two thousand, two hundred seventy-two".