72180120 has 64 divisors (see below), whose sum is σ = 219179520. Its totient is φ = 19013504.

The previous prime is 72180103. The next prime is 72180161. The reversal of 72180120 is 2108127.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6337 + ... + 13583.

It is an arithmetic number, because the mean of its divisors is an integer number (3424680).

Almost surely, 2^72180120 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 72180120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109589760).

72180120 is an abundant number, since it is smaller than the sum of its proper divisors (146999400).

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

72180120 is a wasteful number, since it uses less digits than its factorization.

72180120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7344 (or 7340 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 72180120 is about 8495.8884173464. Note that the first 3 decimals coincide. The cubic root of 72180120 is about 416.3633874835.

Adding to 72180120 its reverse (2108127), we get a palindrome (74288247).

The spelling of 72180120 in words is "seventy-two million, one hundred eighty thousand, one hundred twenty".