72639240 has 64 divisors (see below), whose sum is σ = 219240000. Its totient is φ = 19252992.

The previous prime is 72639239. The next prime is 72639247. The reversal of 72639240 is 4293627.

It is not an unprimeable number, because it can be changed into a prime (72639247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19011 + ... + 22509.

It is an arithmetic number, because the mean of its divisors is an integer number (3425625).

Almost surely, 2^72639240 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 72639240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109620000).

72639240 is an abundant number, since it is smaller than the sum of its proper divisors (146600760).

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

72639240 is a wasteful number, since it uses less digits than its factorization.

72639240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3686 (or 3682 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 72639240 is about 8522.8657152392. The cubic root of 72639240 is about 417.2443173749.

The spelling of 72639240 in words is "seventy-two million, six hundred thirty-nine thousand, two hundred forty".