272315070720 has 1152 divisors, whose sum is σ = 1244028764160. Its totient is φ = 54743040000.

The previous prime is 272315070683. The next prime is 272315070733. The reversal of 272315070720 is 27070513272.

272315070720 is a `hidden beast` number, since 272 + 315 + 0 + 7 + 0 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82493070 + ... + 82496370.

It is an arithmetic number, because the mean of its divisors is an integer number (1079886080).

Almost surely, 2^272315070720 is an apocalyptic number.

272315070720 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 272315070720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622014382080).

272315070720 is an abundant number, since it is smaller than the sum of its proper divisors (971713693440).

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

272315070720 is a wasteful number, since it uses less digits than its factorization.

272315070720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3380 (or 3360 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

Adding to 272315070720 its reverse (27070513272), we get a palindrome (299385583992).

The spelling of 272315070720 in words is "two hundred seventy-two billion, three hundred fifteen million, seventy thousand, seven hundred twenty".