272505740 has 72 divisors (see below), whose sum is σ = 636708240. Its totient is φ = 97853184.

The previous prime is 272505731. The next prime is 272505743. The reversal of 272505740 is 47505272.

It is a junction number, because it is equal to n+sod(n) for n = 272505697 and 272505706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272505743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123971 + ... + 126149.

It is an arithmetic number, because the mean of its divisors is an integer number (8843170).

Almost surely, 2^272505740 is an apocalyptic number.

272505740 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 272505740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318354120).

272505740 is an abundant number, since it is smaller than the sum of its proper divisors (364202500).

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

272505740 is a wasteful number, since it uses less digits than its factorization.

272505740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 32.

The square root of 272505740 is about 16507.7478778906. The cubic root of 272505740 is about 648.3236805674.

The spelling of 272505740 in words is "two hundred seventy-two million, five hundred five thousand, seven hundred forty".