272398752 has 288 divisors, whose sum is σ = 891596160. Its totient is φ = 78397440.

The previous prime is 272398741. The next prime is 272398757. The reversal of 272398752 is 257893272.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 272398698 and 272398707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272398757) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4616899 + ... + 4616957.

It is an arithmetic number, because the mean of its divisors is an integer number (3095820).

Almost surely, 2^272398752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272398752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445798080).

272398752 is an abundant number, since it is smaller than the sum of its proper divisors (619197408).

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

272398752 is a wasteful number, since it uses less digits than its factorization.

272398752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 145 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 272398752 is about 16504.5070208110. The cubic root of 272398752 is about 648.2388237207.

It can be divided in two parts, 2723 and 98752, that added together give a triangular number (101475 = T₄₅₀).

The spelling of 272398752 in words is "two hundred seventy-two million, three hundred ninety-eight thousand, seven hundred fifty-two".