272200710041 has 54 divisors (see below), whose sum is σ = 317317591530. Its totient is φ = 233344091136.

The previous prime is 272200710031. The next prime is 272200710071. The reversal of 272200710041 is 140017002272.

It can be written as a sum of positive squares in 9 ways, for example, as 19629130816 + 252571579225 = 140104^2 + 502565^2 .

It is a de Polignac number, because none of the positive numbers 2^k-272200710041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (272200710031) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 336465245 + ... + 336466053.

It is an arithmetic number, because the mean of its divisors is an integer number (5876251695).

Almost surely, 2^272200710041 is an apocalyptic number.

It is an amenable number.

272200710041 is a deficient number, since it is larger than the sum of its proper divisors (45116881489).

272200710041 is an equidigital number, since it uses as much as digits as its factorization.

272200710041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 26.

The spelling of 272200710041 in words is "two hundred seventy-two billion, two hundred million, seven hundred ten thousand, forty-one".