272672917816320 has 3520 divisors, whose sum is σ = 1253768418422784. Its totient is φ = 55221115944960.

The previous prime is 272672917816297. The next prime is 272672917816367. The reversal of 272672917816320 is 23618719276272.

It is a happy number.

272672917816320 is a `hidden beast` number, since 2 + 7 + 2 + 6 + 7 + 291 + 7 + 8 + 16 + 320 = 666.

It is a super-2 number, since 2×272672917816320² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 56606374552 + ... + 56606379368.

Almost surely, 2^{272672917816320} is an apocalyptic number.

272672917816320 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 272672917816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626884209211392).

272672917816320 is an abundant number, since it is smaller than the sum of its proper divisors (981095500606464).

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

272672917816320 is a wasteful number, since it uses less digits than its factorization.

272672917816320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4946 (or 4919 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 272672917816320 in words is "two hundred seventy-two trillion, six hundred seventy-two billion, nine hundred seventeen million, eight hundred sixteen thousand, three hundred twenty".