272369680 has 80 divisors (see below), whose sum is σ = 720918144. Its totient is φ = 94730240.

The previous prime is 272369659. The next prime is 272369681. The reversal of 272369680 is 86963272.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (272369681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13512 + ... + 26968.

Almost surely, 2^272369680 is an apocalyptic number.

272369680 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 272369680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360459072).

272369680 is an abundant number, since it is smaller than the sum of its proper divisors (448548464).

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

272369680 is a wasteful number, since it uses less digits than its factorization.

272369680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13504 (or 13498 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 272369680 is about 16503.6262681872. The cubic root of 272369680 is about 648.2157616112.

The spelling of 272369680 in words is "two hundred seventy-two million, three hundred sixty-nine thousand, six hundred eighty".