272875680 has 576 divisors, whose sum is σ = 1222760448. Its totient is φ = 53729280.

The previous prime is 272875651. The next prime is 272875693. The reversal of 272875680 is 86578272.

272875680 is a `hidden beast` number, since 2 + 7 + 2 + 87 + 568 + 0 = 666.

It is a super-2 number, since 2×272875680² = 148922273470924800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2550187 + ... + 2550293.

It is an arithmetic number, because the mean of its divisors is an integer number (2122848).

Almost surely, 2^272875680 is an apocalyptic number.

272875680 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 272875680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611380224).

272875680 is an abundant number, since it is smaller than the sum of its proper divisors (949884768).

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

272875680 is a wasteful number, since it uses less digits than its factorization.

272875680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 158 counting only the distinct ones).

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

The square root of 272875680 is about 16518.9491191177. The cubic root of 272875680 is about 648.6169250476.

The spelling of 272875680 in words is "two hundred seventy-two million, eight hundred seventy-five thousand, six hundred eighty".