71073201600 has 672 divisors, whose sum is σ = 272397565440. Its totient is φ = 17992212480.

The previous prime is 71073201593. The next prime is 71073201631. The reversal of 71073201600 is 610237017.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 231508647 + ... + 231508953.

It is an arithmetic number, because the mean of its divisors is an integer number (405353520).

Almost surely, 2^71073201600 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 71073201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136198782720).

71073201600 is an abundant number, since it is smaller than the sum of its proper divisors (201324363840).

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

71073201600 is a wasteful number, since it uses less digits than its factorization.

71073201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

Adding to 71073201600 its reverse (610237017), we get a palindrome (71683438617).

The spelling of 71073201600 in words is "seventy-one billion, seventy-three million, two hundred one thousand, six hundred".