272630736 has 120 divisors (see below), whose sum is σ = 875818944. Its totient is φ = 77552640.

The previous prime is 272630731. The next prime is 272630741. The reversal of 272630736 is 637036272.

It is an interprime number because it is at equal distance from previous prime (272630731) and next prime (272630741).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 272630736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272630731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309016 + ... + 309896.

Almost surely, 2^272630736 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 272630736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437909472).

272630736 is an abundant number, since it is smaller than the sum of its proper divisors (603188208).

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

272630736 is a wasteful number, since it uses less digits than its factorization.

272630736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 272630736 is about 16511.5334236406. The cubic root of 272630736 is about 648.4227922161.

The spelling of 272630736 in words is "two hundred seventy-two million, six hundred thirty thousand, seven hundred thirty-six".