272878560 has 288 divisors, whose sum is σ = 1006229952. Its totient is φ = 67092480.

The previous prime is 272878547. The next prime is 272878579. The reversal of 272878560 is 65878272.

272878560 is a `hidden beast` number, since 2 + 7 + 2 + 87 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 1738002 + ... + 1738158.

It is an arithmetic number, because the mean of its divisors is an integer number (3493854).

Almost surely, 2^272878560 is an apocalyptic number.

272878560 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 272878560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503114976).

272878560 is an abundant number, since it is smaller than the sum of its proper divisors (733351392).

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

272878560 is a wasteful number, since it uses less digits than its factorization.

272878560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 272878560 is about 16519.0362915032. The cubic root of 272878560 is about 648.6192069294.

The spelling of 272878560 in words is "two hundred seventy-two million, eight hundred seventy-eight thousand, five hundred sixty".