71725564152 has 160 divisors (see below), whose sum is σ = 222877353600. Its totient is φ = 21366504000.

The previous prime is 71725564133. The next prime is 71725564153. The reversal of 71725564152 is 25146552717.

71725564152 is a `hidden beast` number, since 7 + 1 + 7 + 2 + 556 + 41 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 71725564098 and 71725564107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71725564153) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 335277 + ... + 505827.

It is an arithmetic number, because the mean of its divisors is an integer number (1392983460).

Almost surely, 2^71725564152 is an apocalyptic number.

71725564152 is a gapful number since it is divisible by the number (72) 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 71725564152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111438676800).

71725564152 is an abundant number, since it is smaller than the sum of its proper divisors (151151789448).

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

71725564152 is a wasteful number, since it uses less digits than its factorization.

71725564152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170639 (or 170626 counting only the distinct ones).

The product of its digits is 588000, while the sum is 45.

The spelling of 71725564152 in words is "seventy-one billion, seven hundred twenty-five million, five hundred sixty-four thousand, one hundred fifty-two".