272343680 has 256 divisors, whose sum is σ = 803727360. Its totient is φ = 86261760.

The previous prime is 272343623. The next prime is 272343703. The reversal of 272343680 is 86343272.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 272343680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5138534 + ... + 5138586.

It is an arithmetic number, because the mean of its divisors is an integer number (3139560).

Almost surely, 2^272343680 is an apocalyptic number.

272343680 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 272343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401863680).

272343680 is an abundant number, since it is smaller than the sum of its proper divisors (531383680).

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

272343680 is a wasteful number, since it uses less digits than its factorization.

272343680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 272343680 is about 16502.8385437173. The cubic root of 272343680 is about 648.1951350543.

The spelling of 272343680 in words is "two hundred seventy-two million, three hundred forty-three thousand, six hundred eighty".