872311356 has 240 divisors, whose sum is σ = 2836162560. Its totient is φ = 228147840.

The previous prime is 872311343. The next prime is 872311369. The reversal of 872311356 is 653113278.

It is an interprime number because it is at equal distance from previous prime (872311343) and next prime (872311369).

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 872311356.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1335526 + ... + 1336178.

It is an arithmetic number, because the mean of its divisors is an integer number (11817344).

Almost surely, 2^872311356 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 872311356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418081280).

872311356 is an abundant number, since it is smaller than the sum of its proper divisors (1963851204).

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

872311356 is a wasteful number, since it uses less digits than its factorization.

872311356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 715 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 872311356 is about 29534.9175722567. The cubic root of 872311356 is about 955.4849308438.

The spelling of 872311356 in words is "eight hundred seventy-two million, three hundred eleven thousand, three hundred fifty-six".