272385378720 has 1728 divisors, whose sum is σ = 1246055166720. Its totient is φ = 55076474880.

The previous prime is 272385378679. The next prime is 272385378737. The reversal of 272385378720 is 27873583272.

272385378720 is a `hidden beast` number, since 2 + 7 + 2 + 3 + 8 + 537 + 87 + 20 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2644518189 + ... + 2644518291.

It is an arithmetic number, because the mean of its divisors is an integer number (721096740).

Almost surely, 2^272385378720 is an apocalyptic number.

272385378720 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 272385378720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623027583360).

272385378720 is an abundant number, since it is smaller than the sum of its proper divisors (973669788000).

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

272385378720 is a wasteful number, since it uses less digits than its factorization.

272385378720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 272385378720 in words is "two hundred seventy-two billion, three hundred eighty-five million, three hundred seventy-eight thousand, seven hundred twenty".