71987692032 has 320 divisors, whose sum is σ = 223324992000. Its totient is φ = 22865117184.

The previous prime is 71987692031. The next prime is 71987692033. The reversal of 71987692032 is 23029678917.

It is an interprime number because it is at equal distance from previous prime (71987692031) and next prime (71987692033).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 71987692032.

It is not an unprimeable number, because it can be changed into a prime (71987692031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31669648 + ... + 31671920.

It is an arithmetic number, because the mean of its divisors is an integer number (697890600).

Almost surely, 2^71987692032 is an apocalyptic number.

71987692032 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 71987692032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111662496000).

71987692032 is an abundant number, since it is smaller than the sum of its proper divisors (151337299968).

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

71987692032 is a wasteful number, since it uses less digits than its factorization.

71987692032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2408 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 71987692032 in words is "seventy-one billion, nine hundred eighty-seven million, six hundred ninety-two thousand, thirty-two".