272361460224 has 480 divisors, whose sum is σ = 890251591680. Its totient is φ = 72283152384.

The previous prime is 272361460223. The next prime is 272361460277. The reversal of 272361460224 is 422064163272.

It is not an unprimeable number, because it can be changed into a prime (272361460223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 711126337 + ... + 711126719.

It is an arithmetic number, because the mean of its divisors is an integer number (1854690816).

Almost surely, 2^272361460224 is an apocalyptic number.

272361460224 is a gapful number since it is divisible by the number (24) 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 272361460224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445125795840).

272361460224 is an abundant number, since it is smaller than the sum of its proper divisors (617890131456).

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

272361460224 is an equidigital number, since it uses as much as digits as its factorization.

272361460224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The spelling of 272361460224 in words is "two hundred seventy-two billion, three hundred sixty-one million, four hundred sixty thousand, two hundred twenty-four".