272044120320 has 576 divisors, whose sum is σ = 1114760317440. Its totient is φ = 61535158272.

The previous prime is 272044120213. The next prime is 272044120349. The reversal of 272044120320 is 23021440272.

272044120320 is a `hidden beast` number, since 27 + 204 + 412 + 0 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23460444 + ... + 23472036.

Almost surely, 2^272044120320 is an apocalyptic number.

272044120320 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 272044120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557380158720).

272044120320 is an abundant number, since it is smaller than the sum of its proper divisors (842716197120).

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

272044120320 is a wasteful number, since it uses less digits than its factorization.

272044120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11727 (or 11707 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

Adding to 272044120320 its reverse (23021440272), we get a palindrome (295065560592).

The spelling of 272044120320 in words is "two hundred seventy-two billion, forty-four million, one hundred twenty thousand, three hundred twenty".