72716100 has 72 divisors (see below), whose sum is σ = 216111168. Its totient is φ = 18864000.

The previous prime is 72716099. The next prime is 72716107. The reversal of 72716100 is 161727.

It is not an unprimeable number, because it can be changed into a prime (72716107) 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, 7825 + ... + 14375.

It is an arithmetic number, because the mean of its divisors is an integer number (3001544).

Almost surely, 2^72716100 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 72716100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108055584).

72716100 is an abundant number, since it is smaller than the sum of its proper divisors (143395068).

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

72716100 is a wasteful number, since it uses less digits than its factorization.

72716100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6605 (or 6598 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 24.

The square root of 72716100 is about 8527.3735698631. The cubic root of 72716100 is about 417.3914283759.

Adding to 72716100 its reverse (161727), we get a palindrome (72877827).

The spelling of 72716100 in words is "seventy-two million, seven hundred sixteen thousand, one hundred".