72272521700 has 72 divisors (see below), whose sum is σ = 158066836200. Its totient is φ = 28682035200.

The previous prime is 72272521691. The next prime is 72272521703. The reversal of 72272521700 is 712527227.

It can be written as a sum of positive squares in 12 ways, for example, as 52657398784 + 19615122916 = 229472^2 + 140054^2 .

It is a super-3 number, since 3×72272521700³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (72272521703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8122454 + ... + 8131346.

It is an arithmetic number, because the mean of its divisors is an integer number (2195372725).

Almost surely, 2^72272521700 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 72272521700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79033418100).

72272521700 is an abundant number, since it is smaller than the sum of its proper divisors (85794314500).

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

72272521700 is a wasteful number, since it uses less digits than its factorization.

72272521700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9537 (or 9530 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 35.

The spelling of 72272521700 in words is "seventy-two billion, two hundred seventy-two million, five hundred twenty-one thousand, seven hundred".