272803806 has 48 divisors (see below), whose sum is σ = 647597808. Its totient is φ = 82310400.

The previous prime is 272803801. The next prime is 272803829. The reversal of 272803806 is 608308272.

It is a happy number.

272803806 is a `hidden beast` number, since 272 + 8 + 0 + 380 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272803801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44860 + ... + 50576.

It is an arithmetic number, because the mean of its divisors is an integer number (13491621).

Almost surely, 2^272803806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272803806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323798904).

272803806 is an abundant number, since it is smaller than the sum of its proper divisors (374794002).

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

272803806 is a wasteful number, since it uses less digits than its factorization.

272803806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5977 (or 5974 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 272803806 is about 16516.7734742594. The cubic root of 272803806 is about 648.5599726331.

The spelling of 272803806 in words is "two hundred seventy-two million, eight hundred three thousand, eight hundred six".