72120120 has 64 divisors (see below), whose sum is σ = 229093920. Its totient is φ = 18100224.

The previous prime is 72120109. The next prime is 72120151. The reversal of 72120120 is 2102127.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 72120120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15637 + ... + 19716.

Almost surely, 2^72120120 is an apocalyptic number.

It is an amenable number.

72120120 is an abundant number, since it is smaller than the sum of its proper divisors (156973800).

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

72120120 is a wasteful number, since it uses less digits than its factorization.

72120120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35384 (or 35380 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 72120120 is about 8492.3565634045. The cubic root of 72120120 is about 416.2479876175.

Adding to 72120120 its reverse (2102127), we get a palindrome (74222247).

The spelling of 72120120 in words is "seventy-two million, one hundred twenty thousand, one hundred twenty".