272311429723872 has 2304 divisors, whose sum is σ = 972855301275648. Its totient is φ = 64735856640000.

The previous prime is 272311429723807. The next prime is 272311429723897. The reversal of 272311429723872 is 278327924113272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1630607363533 + ... + 1630607363699.

It is an arithmetic number, because the mean of its divisors is an integer number (422246224512).

Almost surely, 2^{272311429723872} is an apocalyptic number.

272311429723872 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 272311429723872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486427650637824).

272311429723872 is an abundant number, since it is smaller than the sum of its proper divisors (700543871551776).

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

272311429723872 is a wasteful number, since it uses less digits than its factorization.

272311429723872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 406 counting only the distinct ones).

The product of its digits is 28449792, while the sum is 60.

The spelling of 272311429723872 in words is "two hundred seventy-two trillion, three hundred eleven billion, four hundred twenty-nine million, seven hundred twenty-three thousand, eight hundred seventy-two".