272292480800 has 162 divisors, whose sum is σ = 702284646609. Its totient is φ = 103078252800.

The previous prime is 272292480791. The next prime is 272292480809. The reversal of 272292480800 is 8084292272.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (272292480791) and next prime (272292480809).

It can be written as a sum of positive squares in 2 ways, for example, as 266846631184 + 5445849616 = 516572^2 + 73796^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=368980.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (272292480809) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 280424315 + ... + 280425285.

Almost surely, 2^272292480800 is an apocalyptic number.

272292480800 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 272292480800

272292480800 is an abundant number, since it is smaller than the sum of its proper divisors (429992165809).

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

272292480800 is an frugal number, since it uses more digits than its factorization.

272292480800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The spelling of 272292480800 in words is "two hundred seventy-two billion, two hundred ninety-two million, four hundred eighty thousand, eight hundred".