272772640 has 96 divisors (see below), whose sum is σ = 768579840. Its totient is φ = 89447424.

The previous prime is 272772613. The next prime is 272772641. The reversal of 272772640 is 46277272.

It is a self number, because there is not a number n which added to its sum of digits gives 272772640.

It is not an unprimeable number, because it can be changed into a prime (272772641) 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, 20466 + ... + 31054.

It is an arithmetic number, because the mean of its divisors is an integer number (8006040).

Almost surely, 2^272772640 is an apocalyptic number.

272772640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272772640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384289920).

272772640 is an abundant number, since it is smaller than the sum of its proper divisors (495807200).

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

272772640 is a wasteful number, since it uses less digits than its factorization.

272772640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10634 (or 10626 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 37.

The square root of 272772640 is about 16515.8299821716. The cubic root of 272772640 is about 648.5352738209.

The spelling of 272772640 in words is "two hundred seventy-two million, seven hundred seventy-two thousand, six hundred forty".