72120072 has 32 divisors (see below), whose sum is σ = 181255680. Its totient is φ = 23912640.

The previous prime is 72120031. The next prime is 72120079. The reversal of 72120072 is 27002127.

It is not an unprimeable number, because it can be changed into a prime (72120079) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3283 + ... + 12450.

It is an arithmetic number, because the mean of its divisors is an integer number (5664240).

Almost surely, 2^72120072 is an apocalyptic number.

It is an amenable number.

72120072 is an abundant number, since it is smaller than the sum of its proper divisors (109135608).

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

72120072 is a wasteful number, since it uses less digits than its factorization.

72120072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15933 (or 15929 counting only the distinct ones).

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

The square root of 72120072 is about 8492.3537373334. The cubic root of 72120072 is about 416.2478952720.

Adding to 72120072 its reverse (27002127), we get a palindrome (99122199).

The spelling of 72120072 in words is "seventy-two million, one hundred twenty thousand, seventy-two".