272393280 has 336 divisors, whose sum is σ = 1011838464. Its totient is φ = 69672960.

The previous prime is 272393269. The next prime is 272393281. The reversal of 272393280 is 82393272.

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

It is not an unprimeable number, because it can be changed into a prime (272393281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2410504 + ... + 2410616.

It is an arithmetic number, because the mean of its divisors is an integer number (3011424).

Almost surely, 2^272393280 is an apocalyptic number.

272393280 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 272393280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505919232).

272393280 is an abundant number, since it is smaller than the sum of its proper divisors (739445184).

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

272393280 is a wasteful number, since it uses less digits than its factorization.

272393280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 272393280 is about 16504.3412470780. The cubic root of 272393280 is about 648.2344830418.

The spelling of 272393280 in words is "two hundred seventy-two million, three hundred ninety-three thousand, two hundred eighty".