272106720 has 144 divisors (see below), whose sum is σ = 933699312. Its totient is φ = 72161280.

The previous prime is 272106701. The next prime is 272106727. The reversal of 272106720 is 27601272.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272106727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 335115 + ... + 335925.

It is an arithmetic number, because the mean of its divisors is an integer number (6484023).

Almost surely, 2^272106720 is an apocalyptic number.

272106720 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 272106720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466849656).

272106720 is an abundant number, since it is smaller than the sum of its proper divisors (661592592).

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

272106720 is a wasteful number, since it uses less digits than its factorization.

272106720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 272106720 is about 16495.6576104137. The cubic root of 272106720 is about 648.0070872567.

Adding to 272106720 its reverse (27601272), we get a palindrome (299707992).

It can be divided in two parts, 27210 and 6720, that added together give a triangular number (33930 = T₂₆₀).

The spelling of 272106720 in words is "two hundred seventy-two million, one hundred six thousand, seven hundred twenty".