872752320 has 280 divisors, whose sum is σ = 3387870288. Its totient is φ = 211507200.

The previous prime is 872752297. The next prime is 872752333. The reversal of 872752320 is 23257278.

It is a happy number.

It is a super-2 number, since 2×872752320² = 1523393224130764800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 283590 + ... + 286650.

Almost surely, 2^872752320 is an apocalyptic number.

872752320 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 872752320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693935144).

872752320 is an abundant number, since it is smaller than the sum of its proper divisors (2515117968).

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

872752320 is a wasteful number, since it uses less digits than its factorization.

872752320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3101 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 872752320 is about 29542.3817590932. The cubic root of 872752320 is about 955.6459068063.

The spelling of 872752320 in words is "eight hundred seventy-two million, seven hundred fifty-two thousand, three hundred twenty".