275638272 has 384 divisors, whose sum is σ = 990662400. Its totient is φ = 66060288.

The previous prime is 275638247. The next prime is 275638303. The reversal of 275638272 is 272836572.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×275638272² = 151952913982291968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9504754 + ... + 9504782.

It is an arithmetic number, because the mean of its divisors is an integer number (2579850).

Almost surely, 2^275638272 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 275638272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495331200).

275638272 is an abundant number, since it is smaller than the sum of its proper divisors (715024128).

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

275638272 is a wasteful number, since it uses less digits than its factorization.

275638272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 71 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 275638272 is about 16602.3574229686. The cubic root of 275638272 is about 650.7984444494.

The spelling of 275638272 in words is "two hundred seventy-five million, six hundred thirty-eight thousand, two hundred seventy-two".