272206667520 has 432 divisors, whose sum is σ = 976992280992. Its totient is φ = 69916262400.

The previous prime is 272206667503. The next prime is 272206667543. The reversal of 272206667520 is 25766602272.

272206667520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43047079 + ... + 43053401.

It is an arithmetic number, because the mean of its divisors is an integer number (2261556206).

Almost surely, 2^272206667520 is an apocalyptic number.

272206667520 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 272206667520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488496140496).

272206667520 is an abundant number, since it is smaller than the sum of its proper divisors (704785613472).

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

272206667520 is a wasteful number, since it uses less digits than its factorization.

272206667520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6488 (or 6471 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 272206667520 in words is "two hundred seventy-two billion, two hundred six million, six hundred sixty-seven thousand, five hundred twenty".