72106120 has 16 divisors (see below), whose sum is σ = 162238860. Its totient is φ = 28842432.

The previous prime is 72106079. The next prime is 72106169. The reversal of 72106120 is 2160127.

It can be written as a sum of positive squares in 2 ways, for example, as 71673156 + 432964 = 8466^2 + 658^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 901287 + ... + 901366.

Almost surely, 2^72106120 is an apocalyptic number.

It is an amenable number.

72106120 is an abundant number, since it is smaller than the sum of its proper divisors (90132740).

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

72106120 is a wasteful number, since it uses less digits than its factorization.

72106120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802664 (or 1802660 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 72106120 is about 8491.5322527798. The cubic root of 72106120 is about 416.2210517734.

Adding to 72106120 its reverse (2160127), we get a palindrome (74266247).

The spelling of 72106120 in words is "seventy-two million, one hundred six thousand, one hundred twenty".