272909664 has 36 divisors (see below), whose sum is σ = 776087676. Its totient is φ = 90969792.

The previous prime is 272909639. The next prime is 272909713. The reversal of 272909664 is 466909272.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 473514 + ... + 474089.

It is an arithmetic number, because the mean of its divisors is an integer number (21557991).

Almost surely, 2^272909664 is an apocalyptic number.

272909664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

272909664 is an abundant number, since it is smaller than the sum of its proper divisors (503178012).

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

272909664 is a wasteful number, since it uses less digits than its factorization.

272909664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947619 (or 947608 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 272909664 is about 16519.9777239559. The cubic root of 272909664 is about 648.6438502303.

The spelling of 272909664 in words is "two hundred seventy-two million, nine hundred nine thousand, six hundred sixty-four".