272262262272 has 640 divisors, whose sum is σ = 1016334950400. Its totient is φ = 62431395840.

The previous prime is 272262262253. The next prime is 272262262319.

272262262272 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35359479 + ... + 35367177.

It is an arithmetic number, because the mean of its divisors is an integer number (1588023360).

Almost surely, 2^272262262272 is an apocalyptic number.

272262262272 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 272262262272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508167475200).

272262262272 is an abundant number, since it is smaller than the sum of its proper divisors (744072688128).

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

272262262272 is a wasteful number, since it uses less digits than its factorization.

272262262272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7774 (or 7758 counting only the distinct ones).

The product of its digits is 451584, while the sum is 42.

The spelling of 272262262272 in words is "two hundred seventy-two billion, two hundred sixty-two million, two hundred sixty-two thousand, two hundred seventy-two".