273725730432 has 512 divisors, whose sum is σ = 1039738060800. Its totient is φ = 68802048000.

The previous prime is 273725730431. The next prime is 273725730437. The reversal of 273725730432 is 234037527372.

273725730432 is a `hidden beast` number, since 2 + 7 + 3 + 72 + 573 + 0 + 4 + 3 + 2 = 666.

273725730432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (273725730431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8232882 + ... + 8266062.

It is an arithmetic number, because the mean of its divisors is an integer number (2030738400).

Almost surely, 2^273725730432 is an apocalyptic number.

273725730432 is a gapful number since it is divisible by the number (22) 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 273725730432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519869030400).

273725730432 is an abundant number, since it is smaller than the sum of its proper divisors (766012330368).

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

273725730432 is a wasteful number, since it uses less digits than its factorization.

273725730432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33253 (or 33235 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 45.

The spelling of 273725730432 in words is "two hundred seventy-three billion, seven hundred twenty-five million, seven hundred thirty thousand, four hundred thirty-two".