272365680 has 80 divisors (see below), whose sum is σ = 873470880. Its totient is φ = 70124544.

The previous prime is 272365679. The next prime is 272365757. The reversal of 272365680 is 86563272.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12607 + ... + 26526.

It is an arithmetic number, because the mean of its divisors is an integer number (10918386).

Almost surely, 2^272365680 is an apocalyptic number.

272365680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272365680 is an abundant number, since it is smaller than the sum of its proper divisors (601105200).

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

272365680 is a wasteful number, since it uses less digits than its factorization.

272365680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39178 (or 39172 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 272365680 is about 16503.5050822545. The cubic root of 272365680 is about 648.2125883802.

The spelling of 272365680 in words is "two hundred seventy-two million, three hundred sixty-five thousand, six hundred eighty".