72097672 has 16 divisors (see below), whose sum is σ = 135619740. Its totient is φ = 35932416.

The previous prime is 72097667. The next prime is 72097679. The reversal of 72097672 is 27679027.

It can be written as a sum of positive squares in 2 ways, for example, as 57244356 + 14853316 = 7566^2 + 3854^2 .

It is not an unprimeable number, because it can be changed into a prime (72097679) 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 3 ways as a sum of consecutive naturals, for example, 11893 + ... + 16900.

Almost surely, 2^72097672 is an apocalyptic number.

It is an amenable number.

72097672 is a deficient number, since it is larger than the sum of its proper divisors (63522068).

72097672 is a wasteful number, since it uses less digits than its factorization.

72097672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29112 (or 29108 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 40.

The square root of 72097672 is about 8491.0348014833. The cubic root of 72097672 is about 416.2047962286.

The spelling of 72097672 in words is "seventy-two million, ninety-seven thousand, six hundred seventy-two".