71157107772 has 72 divisors (see below), whose sum is σ = 186713363200. Its totient is φ = 23695870896.

The previous prime is 71157107761. The next prime is 71157107779. The reversal of 71157107772 is 27770175117.

71157107772 is a `hidden beast` number, since 7 + 1 + 1 + 571 + 0 + 7 + 7 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71157107779) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 974679 + ... + 1045137.

Almost surely, 2^71157107772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71157107772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93356681600).

71157107772 is an abundant number, since it is smaller than the sum of its proper divisors (115556255428).

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

71157107772 is a wasteful number, since it uses less digits than its factorization.

71157107772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71517 (or 71503 counting only the distinct ones).

The product of its (nonzero) digits is 168070, while the sum is 45.

It can be divided in two parts, 71157 and 107772, that added together give a square (178929 = 423²).

The spelling of 71157107772 in words is "seventy-one billion, one hundred fifty-seven million, one hundred seven thousand, seven hundred seventy-two".