272297712960 has 1568 divisors, whose sum is σ = 1217876631552. Its totient is φ = 56435097600.

The previous prime is 272297712899. The next prime is 272297713003. The reversal of 272297712960 is 69217792272.

It is a happy number.

272297712960 is a `hidden beast` number, since 272 + 297 + 7 + 1 + 29 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 272297712897 and 272297712906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2144076417 + ... + 2144076543.

Almost surely, 2^272297712960 is an apocalyptic number.

272297712960 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 272297712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608938315776).

272297712960 is an abundant number, since it is smaller than the sum of its proper divisors (945578918592).

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

272297712960 is a wasteful number, since it uses less digits than its factorization.

272297712960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 272297712960 in words is "two hundred seventy-two billion, two hundred ninety-seven million, seven hundred twelve thousand, nine hundred sixty".