272585322240 has 1728 divisors, whose sum is σ = 1198291304448. Its totient is φ = 52022476800.

The previous prime is 272585322239. The next prime is 272585322293. The reversal of 272585322240 is 42223585272.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 272585322192 and 272585322201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2146341057 + ... + 2146341183.

It is an arithmetic number, because the mean of its divisors is an integer number (693455616).

Almost surely, 2^272585322240 is an apocalyptic number.

272585322240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272585322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599145652224).

272585322240 is an abundant number, since it is smaller than the sum of its proper divisors (925705982208).

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

272585322240 is a wasteful number, since it uses less digits than its factorization.

272585322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 42.

The spelling of 272585322240 in words is "two hundred seventy-two billion, five hundred eighty-five million, three hundred twenty-two thousand, two hundred forty".