71535152052 has 192 divisors, whose sum is σ = 228515929600. Its totient is φ = 18845291520.

The previous prime is 71535152033. The next prime is 71535152083. The reversal of 71535152052 is 25025153517.

71535152052 is a `hidden beast` number, since 71 + 5 + 3 + 515 + 20 + 52 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 71535151998 and 71535152016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10030824 + ... + 10037952.

Almost surely, 2^71535152052 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 71535152052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114257964800).

71535152052 is an abundant number, since it is smaller than the sum of its proper divisors (156980777548).

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

71535152052 is a wasteful number, since it uses less digits than its factorization.

71535152052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8183 (or 8175 counting only the distinct ones).

The product of its (nonzero) digits is 52500, while the sum is 36.

The spelling of 71535152052 in words is "seventy-one billion, five hundred thirty-five million, one hundred fifty-two thousand, fifty-two".