872532725760 has 1560 divisors, whose sum is σ = 3480084089856. Its totient is φ = 208780001280.

The previous prime is 872532725731. The next prime is 872532725809. The reversal of 872532725760 is 67527235278.

872532725760 is a `hidden beast` number, since 8 + 7 + 2 + 5 + 327 + 257 + 60 = 666.

It is a super-2 number, since 2×872532725760² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 872532725697 and 872532725706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18564526057 + ... + 18564526103.

Almost surely, 2^872532725760 is an apocalyptic number.

872532725760 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 872532725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740042044928).

872532725760 is an abundant number, since it is smaller than the sum of its proper divisors (2607551364096).

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

872532725760 is a wasteful number, since it uses less digits than its factorization.

872532725760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 872532725760 in words is "eight hundred seventy-two billion, five hundred thirty-two million, seven hundred twenty-five thousand, seven hundred sixty".