71953238364 has 144 divisors (see below), whose sum is σ = 205402595328. Its totient is φ = 19508936832.

The previous prime is 71953238347. The next prime is 71953238369. The reversal of 71953238364 is 46383235917.

It is a super-2 number, since 2×71953238364² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71953238369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1696602 + ... + 1738494.

It is an arithmetic number, because the mean of its divisors is an integer number (1426406912).

Almost surely, 2^71953238364 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 71953238364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102701297664).

71953238364 is an abundant number, since it is smaller than the sum of its proper divisors (133449356964).

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

71953238364 is a wasteful number, since it uses less digits than its factorization.

71953238364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42064 (or 42055 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 51.

The spelling of 71953238364 in words is "seventy-one billion, nine hundred fifty-three million, two hundred thirty-eight thousand, three hundred sixty-four".