71631617052 has 72 divisors (see below), whose sum is σ = 176835968400. Its totient is φ = 22564645632.

The previous prime is 71631617039. The next prime is 71631617053. The reversal of 71631617052 is 25071613617.

It is a super-2 number, since 2×71631617052² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 71631617052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71631617053) 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, 1751574 + ... + 1792002.

Almost surely, 2^71631617052 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 71631617052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88417984200).

71631617052 is an abundant number, since it is smaller than the sum of its proper divisors (105204351348).

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

71631617052 is a wasteful number, since it uses less digits than its factorization.

71631617052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40883 (or 40862 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 39.

The spelling of 71631617052 in words is "seventy-one billion, six hundred thirty-one million, six hundred seventeen thousand, fifty-two".