72172071700 has 72 divisors (see below), whose sum is σ = 160359236352. Its totient is φ = 28185991680.

The previous prime is 72172071661. The next prime is 72172071707. The reversal of 72172071700 is 717027127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72172071707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 709437 + ... + 804763.

It is an arithmetic number, because the mean of its divisors is an integer number (2227211616).

Almost surely, 2^72172071700 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 72172071700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80179618176).

72172071700 is an abundant number, since it is smaller than the sum of its proper divisors (88187164652).

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

72172071700 is a wasteful number, since it uses less digits than its factorization.

72172071700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95521 (or 95514 counting only the distinct ones).

The product of its (nonzero) digits is 9604, while the sum is 34.

Adding to 72172071700 its reverse (717027127), we get a palindrome (72889098827).

The spelling of 72172071700 in words is "seventy-two billion, one hundred seventy-two million, seventy-one thousand, seven hundred".