272025945000 has 1600 divisors, whose sum is σ = 1102259664000. Its totient is φ = 62270208000.

The previous prime is 272025944959. The next prime is 272025945017. The reversal of 272025945000 is 549520272.

It is a happy number.

272025945000 is a `hidden beast` number, since 27 + 20 + 25 + 94 + 500 + 0 = 666.

It is a super-2 number, since 2×272025945000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 5132564974 + ... + 5132565026.

It is an arithmetic number, because the mean of its divisors is an integer number (688912290).

Almost surely, 2^272025945000 is an apocalyptic number.

272025945000 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 272025945000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551129832000).

272025945000 is an abundant number, since it is smaller than the sum of its proper divisors (830233719000).

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

272025945000 is a wasteful number, since it uses less digits than its factorization.

272025945000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 272025945000 in words is "two hundred seventy-two billion, twenty-five million, nine hundred forty-five thousand".