72008640 has 168 divisors, whose sum is σ = 270314928. Its totient is φ = 17448960.

The previous prime is 72008633. The next prime is 72008641. The reversal of 72008640 is 4680027.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72008641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30544 + ... + 32816.

Almost surely, 2^72008640 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 72008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135157464).

72008640 is an abundant number, since it is smaller than the sum of its proper divisors (198306288).

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

72008640 is a wasteful number, since it uses less digits than its factorization.

72008640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2307 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 72008640 is about 8485.7904758484. The cubic root of 72008640 is about 416.0334046154.

Adding to 72008640 its reverse (4680027), we get a palindrome (76688667).

The spelling of 72008640 in words is "seventy-two million, eight thousand, six hundred forty".