272635616 has 48 divisors (see below), whose sum is σ = 588954240. Its totient is φ = 123204480.

The previous prime is 272635591. The next prime is 272635619. The reversal of 272635616 is 616536272.

It is a super-2 number, since 2×272635616² = 148660358223398912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 272635616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272635619) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60845 + ... + 65171.

It is an arithmetic number, because the mean of its divisors is an integer number (12269880).

Almost surely, 2^272635616 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 272635616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294477120).

272635616 is an abundant number, since it is smaller than the sum of its proper divisors (316318624).

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

272635616 is a wasteful number, since it uses less digits than its factorization.

272635616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4527 (or 4519 counting only the distinct ones).

The product of its digits is 90720, while the sum is 38.

The square root of 272635616 is about 16511.6811984728. The cubic root of 272635616 is about 648.4266610442.

The spelling of 272635616 in words is "two hundred seventy-two million, six hundred thirty-five thousand, six hundred sixteen".