272806380 has 288 divisors, whose sum is σ = 1071383040. Its totient is φ = 56687040.

The previous prime is 272806367. The next prime is 272806397. The reversal of 272806380 is 83608272.

It is a happy number.

272806380 is a `hidden beast` number, since 272 + 8 + 0 + 6 + 380 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24800575 + ... + 24800585.

It is an arithmetic number, because the mean of its divisors is an integer number (3720080).

Almost surely, 2^272806380 is an apocalyptic number.

272806380 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 272806380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535691520).

272806380 is an abundant number, since it is smaller than the sum of its proper divisors (798576660).

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

272806380 is an equidigital number, since it uses as much as digits as its factorization.

272806380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 28 counting only the distinct ones).

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

The square root of 272806380 is about 16516.8513948634. The cubic root of 272806380 is about 648.5620124240.

The spelling of 272806380 in words is "two hundred seventy-two million, eight hundred six thousand, three hundred eighty".