875608272 has 240 divisors, whose sum is σ = 3158547840. Its totient is φ = 227335680.

The previous prime is 875608249. The next prime is 875608277. The reversal of 875608272 is 272806578.

875608272 is a `hidden beast` number, since 8 + 7 + 560 + 82 + 7 + 2 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (875608277) 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, 364708 + ... + 367100.

It is an arithmetic number, because the mean of its divisors is an integer number (13160616).

Almost surely, 2^875608272 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 875608272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579273920).

875608272 is an abundant number, since it is smaller than the sum of its proper divisors (2282939568).

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

875608272 is a wasteful number, since it uses less digits than its factorization.

875608272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2439 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 875608272 is about 29590.6788026230. The cubic root of 875608272 is about 956.6871748056.

The spelling of 875608272 in words is "eight hundred seventy-five million, six hundred eight thousand, two hundred seventy-two".