72525389921856 has 189 divisors, whose sum is σ = 220839116991571. Its totient is φ = 22751973433344.

The previous prime is 72525389921827. The next prime is 72525389921857. The reversal of 72525389921856 is 65812998352527.

The square root of 72525389921856 is 8516184.

It is a perfect power (a square), and thus also a powerful number.

72525389921856 is a `hidden beast` number, since 7 + 2 + 5 + 2 + 538 + 9 + 9 + 2 + 1 + 85 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 978152648256 + 71547237273600 = 989016^2 + 8458560^2 .

It is a super-3 number, since 3×72525389921856³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72525389921857) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3474592636 + ... + 3474613508.

Almost surely, 2^{72525389921856} is an apocalyptic number.

72525389921856 is the 8516184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72525389921856

72525389921856 is an abundant number, since it is smaller than the sum of its proper divisors (148313727069715).

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

72525389921856 is an frugal number, since it uses more digits than its factorization.

72525389921856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41798 (or 20895 counting only the distinct ones).

The product of its digits is 653184000, while the sum is 72.

The spelling of 72525389921856 in words is "seventy-two trillion, five hundred twenty-five billion, three hundred eighty-nine million, nine hundred twenty-one thousand, eight hundred fifty-six".