272001312 has 144 divisors (see below), whose sum is σ = 880746048. Its totient is φ = 78819840.

The previous prime is 272001293. The next prime is 272001313. The reversal of 272001312 is 213100272.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (272001313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70998 + ... + 74730.

It is an arithmetic number, because the mean of its divisors is an integer number (6116292).

Almost surely, 2^272001312 is an apocalyptic number.

272001312 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 272001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440373024).

272001312 is an abundant number, since it is smaller than the sum of its proper divisors (608744736).

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

272001312 is a wasteful number, since it uses less digits than its factorization.

272001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3783 (or 3772 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 272001312 is about 16492.4622782652. The cubic root of 272001312 is about 647.9234020113.

Adding to 272001312 its reverse (213100272), we get a palindrome (485101584).

The spelling of 272001312 in words is "two hundred seventy-two million, one thousand, three hundred twelve".