272095680 has 224 divisors, whose sum is σ = 917618688. Its totient is φ = 68198400.

The previous prime is 272095679. The next prime is 272095699. The reversal of 272095680 is 86590272.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1220049 + ... + 1220271.

It is an arithmetic number, because the mean of its divisors is an integer number (4096512).

Almost surely, 2^272095680 is an apocalyptic number.

272095680 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 272095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458809344).

272095680 is an abundant number, since it is smaller than the sum of its proper divisors (645523008).

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

272095680 is a wasteful number, since it uses less digits than its factorization.

272095680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 272095680 is about 16495.3229734977. The cubic root of 272095680 is about 647.9983234220.

The spelling of 272095680 in words is "two hundred seventy-two million, ninety-five thousand, six hundred eighty".