872272544 has 216 divisors, whose sum is σ = 2158966656. Its totient is φ = 345945600.

The previous prime is 872272543. The next prime is 872272553. The reversal of 872272544 is 445272278.

It is not an unprimeable number, because it can be changed into a prime (872272543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20285387 + ... + 20285429.

It is an arithmetic number, because the mean of its divisors is an integer number (9995216).

Almost surely, 2^872272544 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 872272544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079483328).

872272544 is an abundant number, since it is smaller than the sum of its proper divisors (1286694112).

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

872272544 is a wasteful number, since it uses less digits than its factorization.

872272544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 100 counting only the distinct ones).

The product of its digits is 250880, while the sum is 41.

The square root of 872272544 is about 29534.2605121577. The cubic root of 872272544 is about 955.4707597451.

The spelling of 872272544 in words is "eight hundred seventy-two million, two hundred seventy-two thousand, five hundred forty-four".