272978208 has 96 divisors (see below), whose sum is σ = 802267200. Its totient is φ = 90298368.

The previous prime is 272978203. The next prime is 272978213. The reversal of 272978208 is 802879272.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (272978203) and next prime (272978213).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (272978203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118960 + ... + 121232.

It is an arithmetic number, because the mean of its divisors is an integer number (8356950).

Almost surely, 2^272978208 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 272978208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401133600).

272978208 is an abundant number, since it is smaller than the sum of its proper divisors (529288992).

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

272978208 is a wasteful number, since it uses less digits than its factorization.

272978208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2431 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 272978208 is about 16522.0521727781. The cubic root of 272978208 is about 648.6981501546.

The spelling of 272978208 in words is "two hundred seventy-two million, nine hundred seventy-eight thousand, two hundred eight".