272095200000 has 2160 divisors, whose sum is σ = 1217219905440. Its totient is φ = 59719680000.

The previous prime is 272095199993. The next prime is 272095200023. The reversal of 272095200000 is 2590272.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 14320799991 + ... + 14320800009.

It is an arithmetic number, because the mean of its divisors is an integer number (563527734).

Almost surely, 2^272095200000 is an apocalyptic number.

272095200000 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 272095200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608609952720).

272095200000 is an abundant number, since it is smaller than the sum of its proper divisors (945124705440).

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

272095200000 is an equidigital number, since it uses as much as digits as its factorization.

272095200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 272095200000 its reverse (2590272), we get a palindrome (272097790272).

The spelling of 272095200000 in words is "two hundred seventy-two billion, ninety-five million, two hundred thousand".