272667816 has 128 divisors (see below), whose sum is σ = 800870400. Its totient is φ = 85821120.

The previous prime is 272667799. The next prime is 272667817. The reversal of 272667816 is 618766272.

It is not an unprimeable number, because it can be changed into a prime (272667817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287455 + ... + 288401.

It is an arithmetic number, because the mean of its divisors is an integer number (6256800).

Almost surely, 2^272667816 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 272667816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400435200).

272667816 is an abundant number, since it is smaller than the sum of its proper divisors (528202584).

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

272667816 is a wasteful number, since it uses less digits than its factorization.

272667816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1026 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 272667816 is about 16512.6562369596. The cubic root of 272667816 is about 648.4521878099.

The spelling of 272667816 in words is "two hundred seventy-two million, six hundred sixty-seven thousand, eight hundred sixteen".