71642032000 has 256 divisors, whose sum is σ = 222075509760. Its totient is φ = 22329600000.

The previous prime is 71642031973. The next prime is 71642032139. The reversal of 71642032000 is 23024617.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1202925 + ... + 1261075.

It is an arithmetic number, because the mean of its divisors is an integer number (867482460).

Almost surely, 2^71642032000 is an apocalyptic number.

71642032000 is a gapful number since it is divisible by the number (70) 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 71642032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111037754880).

71642032000 is an abundant number, since it is smaller than the sum of its proper divisors (150433477760).

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

71642032000 is a wasteful number, since it uses less digits than its factorization.

71642032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58198 (or 58176 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

Adding to 71642032000 its reverse (23024617), we get a palindrome (71665056617).

The spelling of 71642032000 in words is "seventy-one billion, six hundred forty-two million, thirty-two thousand".