272085264 has 160 divisors (see below), whose sum is σ = 879943680. Its totient is φ = 79747200.

The previous prime is 272085257. The next prime is 272085283. The reversal of 272085264 is 462580272.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146389 + ... + 148235.

It is an arithmetic number, because the mean of its divisors is an integer number (5499648).

Almost surely, 2^272085264 is an apocalyptic number.

272085264 is a gapful number since it is divisible by the number (24) 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 272085264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439971840).

272085264 is an abundant number, since it is smaller than the sum of its proper divisors (607858416).

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

272085264 is a wasteful number, since it uses less digits than its factorization.

272085264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1906 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 272085264 is about 16495.0072446180. The cubic root of 272085264 is about 647.9900547170.

The spelling of 272085264 in words is "two hundred seventy-two million, eighty-five thousand, two hundred sixty-four".