272715650152 has 64 divisors (see below), whose sum is σ = 571068999360. Its totient is φ = 121052736000.

The previous prime is 272715650113. The next prime is 272715650153. The reversal of 272715650152 is 251056517272.

It is a junction number, because it is equal to n+sod(n) for n = 272715650099 and 272715650108.

It is not an unprimeable number, because it can be changed into a prime (272715650153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438663 + ... + 858985.

It is an arithmetic number, because the mean of its divisors is an integer number (8922953115).

Almost surely, 2^272715650152 is an apocalyptic number.

272715650152 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 272715650152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285534499680).

272715650152 is an abundant number, since it is smaller than the sum of its proper divisors (298353349208).

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

272715650152 is a wasteful number, since it uses less digits than its factorization.

272715650152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420514 (or 420510 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 43.

The spelling of 272715650152 in words is "two hundred seventy-two billion, seven hundred fifteen million, six hundred fifty thousand, one hundred fifty-two".