272672159760 has 1600 divisors, whose sum is σ = 1285421727744. Its totient is φ = 51732172800.

The previous prime is 272672159741. The next prime is 272672159857. The reversal of 272672159760 is 67951276272.

It is a happy number.

272672159760 is a `hidden beast` number, since 2 + 7 + 26 + 7 + 21 + 597 + 6 + 0 = 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 = 272672159697 and 272672159706.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 823782795 + ... + 823783125.

Almost surely, 2^272672159760 is an apocalyptic number.

272672159760 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 272672159760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642710863872).

272672159760 is an abundant number, since it is smaller than the sum of its proper divisors (1012749567984).

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

272672159760 is a wasteful number, since it uses less digits than its factorization.

272672159760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 272672159760 in words is "two hundred seventy-two billion, six hundred seventy-two million, one hundred fifty-nine thousand, seven hundred sixty".