72127120 has 80 divisors (see below), whose sum is σ = 181988352. Its totient is φ = 26426880.

The previous prime is 72127091. The next prime is 72127123. The reversal of 72127120 is 2172127.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 72127091 and 72127100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72127123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231765 + ... + 232075.

Almost surely, 2^72127120 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 72127120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90994176).

72127120 is an abundant number, since it is smaller than the sum of its proper divisors (109861232).

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

72127120 is a wasteful number, since it uses less digits than its factorization.

72127120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 22.

The square root of 72127120 is about 8492.7686887139. The cubic root of 72127120 is about 416.2614542324.

Adding to 72127120 its reverse (2172127), we get a palindrome (74299247).

The spelling of 72127120 in words is "seventy-two million, one hundred twenty-seven thousand, one hundred twenty".