272749680 has 300 divisors, whose sum is σ = 1103244120. Its totient is φ = 62270208.

The previous prime is 272749661. The next prime is 272749691. The reversal of 272749680 is 86947272.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 317091 + ... + 317949.

Almost surely, 2^272749680 is an apocalyptic number.

272749680 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 272749680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551622060).

272749680 is an abundant number, since it is smaller than the sum of its proper divisors (830494440).

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

272749680 is a wasteful number, since it uses less digits than its factorization.

272749680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 272749680 is about 16515.1348768334. The cubic root of 272749680 is about 648.5170769963.

The spelling of 272749680 in words is "two hundred seventy-two million, seven hundred forty-nine thousand, six hundred eighty".