72102720 has 224 divisors, whose sum is σ = 248716800. Its totient is φ = 17639424.

The previous prime is 72102707. The next prime is 72102731. The reversal of 72102720 is 2720127.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1076127 + ... + 1076193.

Almost surely, 2^72102720 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 72102720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124358400).

72102720 is an abundant number, since it is smaller than the sum of its proper divisors (176614080).

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

72102720 is a wasteful number, since it uses less digits than its factorization.

72102720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 72102720 is about 8491.3320509800. The cubic root of 72102720 is about 416.2145096850.

Adding to 72102720 its reverse (2720127), we get a palindrome (74822847).

The spelling of 72102720 in words is "seventy-two million, one hundred two thousand, seven hundred twenty".