872064720 has 240 divisors, whose sum is σ = 3064089600. Its totient is φ = 222013440.

The previous prime is 872064719. The next prime is 872064727. The reversal of 872064720 is 27460278.

872064720 is a `hidden beast` number, since 8 + 7 + 2 + 0 + 647 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872064727) 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 47 ways as a sum of consecutive naturals, for example, 1986261 + ... + 1986699.

It is an arithmetic number, because the mean of its divisors is an integer number (12767040).

Almost surely, 2^872064720 is an apocalyptic number.

872064720 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 872064720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532044800).

872064720 is an abundant number, since it is smaller than the sum of its proper divisors (2192024880).

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

872064720 is a wasteful number, since it uses less digits than its factorization.

872064720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 872064720 is about 29530.7419480107. The cubic root of 872064720 is about 955.3948715651.

The spelling of 872064720 in words is "eight hundred seventy-two million, sixty-four thousand, seven hundred twenty".