872505270 has 480 divisors, whose sum is σ = 3128479200. Its totient is φ = 172440576.

The previous prime is 872505269. The next prime is 872505287. The reversal of 872505270 is 72505278.

872505270 is a `hidden beast` number, since 87 + 2 + 50 + 527 + 0 = 666.

872505270 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×872505270² = 1522530892355545800, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 9803386 + ... + 9803474.

It is an arithmetic number, because the mean of its divisors is an integer number (6517665).

Almost surely, 2^872505270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872505270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564239600).

872505270 is an abundant number, since it is smaller than the sum of its proper divisors (2255973930).

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

872505270 is a wasteful number, since it uses less digits than its factorization.

872505270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 872505270 is about 29538.2001821370. The cubic root of 872505270 is about 955.5557267341. Note that the first 3 decimals are identical.

The spelling of 872505270 in words is "eight hundred seventy-two million, five hundred five thousand, two hundred seventy".