72585272214 has 288 divisors, whose sum is σ = 207263556864. Its totient is φ = 18171578880.

The previous prime is 72585272203. The next prime is 72585272219. The reversal of 72585272214 is 41227258527.

72585272214 is a `hidden beast` number, since 72 + 58 + 527 + 2 + 2 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 72585272214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72585272219) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18836712 + ... + 18840564.

It is an arithmetic number, because the mean of its divisors is an integer number (719665128).

Almost surely, 2^72585272214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72585272214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103631778432).

72585272214 is an abundant number, since it is smaller than the sum of its proper divisors (134678284650).

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

72585272214 is a wasteful number, since it uses less digits than its factorization.

72585272214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3972 (or 3962 counting only the distinct ones).

The product of its digits is 627200, while the sum is 45.

The spelling of 72585272214 in words is "seventy-two billion, five hundred eighty-five million, two hundred seventy-two thousand, two hundred fourteen".