272946005749032 has 512 divisors, whose sum is σ = 885939364823040. Its totient is φ = 68004655488000.

The previous prime is 272946005749013. The next prime is 272946005749033. The reversal of 272946005749032 is 230947500649272.

It is not an unprimeable number, because it can be changed into a prime (272946005749033) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3280441143 + ... + 3280524345.

It is an arithmetic number, because the mean of its divisors is an integer number (1730350321920).

Almost surely, 2^{272946005749032} is an apocalyptic number.

272946005749032 is a gapful number since it is divisible by the number (22) 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 272946005749032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442969682411520).

272946005749032 is an abundant number, since it is smaller than the sum of its proper divisors (612993359074008).

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

272946005749032 is a wasteful number, since it uses less digits than its factorization.

272946005749032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83765 (or 83761 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 60.

The spelling of 272946005749032 in words is "two hundred seventy-two trillion, nine hundred forty-six billion, five million, seven hundred forty-nine thousand, thirty-two".