272017029648 has 960 divisors, whose sum is σ = 991223557632. Its totient is φ = 63355944960.

The previous prime is 272017029643. The next prime is 272017029673. The reversal of 272017029648 is 846920710272.

It is a super-2 number, since 2×272017029648² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 272017029597 and 272017029606.

It is not an unprimeable number, because it can be changed into a prime (272017029643) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 729267990 + ... + 729268362.

Almost surely, 2^272017029648 is an apocalyptic number.

272017029648 is a gapful number since it is divisible by the number (28) 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 272017029648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495611778816).

272017029648 is an abundant number, since it is smaller than the sum of its proper divisors (719206527984).

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

272017029648 is a wasteful number, since it uses less digits than its factorization.

272017029648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 272017029648 in words is "two hundred seventy-two billion, seventeen million, twenty-nine thousand, six hundred forty-eight".