272816688 has 80 divisors (see below), whose sum is σ = 748925280. Its totient is φ = 85413888.

The previous prime is 272816657. The next prime is 272816729. The reversal of 272816688 is 886618272.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 48856 + ... + 54152.

It is an arithmetic number, because the mean of its divisors is an integer number (9361566).

Almost surely, 2^272816688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272816688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374462640).

272816688 is an abundant number, since it is smaller than the sum of its proper divisors (476108592).

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

272816688 is a wasteful number, since it uses less digits than its factorization.

272816688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5374 (or 5368 counting only the distinct ones).

The product of its digits is 516096, while the sum is 48.

The square root of 272816688 is about 16517.1634368617. The cubic root of 272816688 is about 648.5701809683.

The spelling of 272816688 in words is "two hundred seventy-two million, eight hundred sixteen thousand, six hundred eighty-eight".