272300803920 has 280 divisors, whose sum is σ = 953406630600. Its totient is φ = 72292912128.

The previous prime is 272300803903. The next prime is 272300803937. The reversal of 272300803920 is 29308003272.

272300803920 is a `hidden beast` number, since 272 + 300 + 80 + 3 + 9 + 2 + 0 = 666.

272300803920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (272300803903) and next prime (272300803937).

It can be written as a sum of positive squares in 4 ways, for example, as 158904282384 + 113396521536 = 398628^2 + 336744^2 .

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13345086 + ... + 13365474.

Almost surely, 2^272300803920 is an apocalyptic number.

272300803920 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 272300803920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476703315300).

272300803920 is an abundant number, since it is smaller than the sum of its proper divisors (681105826680).

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

272300803920 is a wasteful number, since it uses less digits than its factorization.

272300803920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20649 (or 20628 counting only the distinct ones).

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

The spelling of 272300803920 in words is "two hundred seventy-two billion, three hundred million, eight hundred three thousand, nine hundred twenty".