272116025 has 24 divisors (see below), whose sum is σ = 359434584. Its totient is φ = 203648000.

The previous prime is 272115971. The next prime is 272116027. The reversal of 272116025 is 520611272.

It can be written as a sum of positive squares in 12 ways, for example, as 10291264 + 261824761 = 3208^2 + 16181^2 .

It is not a de Polignac number, because 272116025 - 2¹⁶ = 272050489 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 272115985 and 272116003.

It is not an unprimeable number, because it can be changed into a prime (272116027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71675 + ... + 75375.

It is an arithmetic number, because the mean of its divisors is an integer number (14976441).

Almost surely, 2^272116025 is an apocalyptic number.

272116025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

272116025 is a deficient number, since it is larger than the sum of its proper divisors (87318559).

272116025 is a wasteful number, since it uses less digits than its factorization.

272116025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3901 (or 3896 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 272116025 is about 16495.9396519265. The cubic root of 272116025 is about 648.0144736200.

Adding to 272116025 its reverse (520611272), we get a palindrome (792727297).

The spelling of 272116025 in words is "two hundred seventy-two million, one hundred sixteen thousand, twenty-five".