272213255340 has 192 divisors, whose sum is σ = 921435419520. Its totient is φ = 66315386880.

The previous prime is 272213255323. The next prime is 272213255357. The reversal of 272213255340 is 43552312272.

272213255340 is a `hidden beast` number, since 2 + 72 + 2 + 1 + 32 + 553 + 4 + 0 = 666.

272213255340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (272213255323) and next prime (272213255357).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 272213255295 and 272213255304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 481060 + ... + 880820.

It is an arithmetic number, because the mean of its divisors is an integer number (4799142810).

Almost surely, 2^272213255340 is an apocalyptic number.

272213255340 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 272213255340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460717709760).

272213255340 is an abundant number, since it is smaller than the sum of its proper divisors (649222164180).

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

272213255340 is a wasteful number, since it uses less digits than its factorization.

272213255340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399889 (or 399881 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 272213255340 in words is "two hundred seventy-two billion, two hundred thirteen million, two hundred fifty-five thousand, three hundred forty".