71397940032 has 252 divisors, whose sum is σ = 212075434116. Its totient is φ = 22957608960.

The previous prime is 71397940007. The next prime is 71397940037. The reversal of 71397940032 is 23004979317.

It can be written as a sum of positive squares in 2 ways, for example, as 36002785536 + 35395154496 = 189744^2 + 188136^2 .

It is a super-2 number, since 2×71397940032² (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 71397940032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71397940037) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 137039932 + ... + 137040452.

It is an arithmetic number, because the mean of its divisors is an integer number (841569183).

Almost surely, 2^71397940032 is an apocalyptic number.

71397940032 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 71397940032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106037717058).

71397940032 is an abundant number, since it is smaller than the sum of its proper divisors (140677494084).

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

71397940032 is a wasteful number, since it uses less digits than its factorization.

71397940032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 71397940032 in words is "seventy-one billion, three hundred ninety-seven million, nine hundred forty thousand, thirty-two".