72209590272 has 144 divisors (see below), whose sum is σ = 209891338020. Its totient is φ = 23915593728.

The previous prime is 72209590217. The next prime is 72209590283. The reversal of 72209590272 is 27209590227.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 72201839616 + 7750656 = 268704^2 + 2784^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2881348 + ... + 2906300.

Almost surely, 2^72209590272 is an apocalyptic number.

72209590272 is a gapful number since it is divisible by the number (72) 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 72209590272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104945669010).

72209590272 is an abundant number, since it is smaller than the sum of its proper divisors (137681747748).

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

72209590272 is a wasteful number, since it uses less digits than its factorization.

72209590272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25138 (or 25115 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

Subtracting from 72209590272 its sum of digits (45), we obtain a palindrome (72209590227).

The spelling of 72209590272 in words is "seventy-two billion, two hundred nine million, five hundred ninety thousand, two hundred seventy-two".