71305650240 has 448 divisors, whose sum is σ = 261117527040. Its totient is φ = 16304578560.

The previous prime is 71305650233. The next prime is 71305650257. The reversal of 71305650240 is 4205650317.

It is a super-2 number, since 2×71305650240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55576639 + ... + 55577921.

Almost surely, 2^71305650240 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 71305650240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130558763520).

71305650240 is an abundant number, since it is smaller than the sum of its proper divisors (189811876800).

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

71305650240 is a wasteful number, since it uses less digits than its factorization.

71305650240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1610 (or 1600 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The spelling of 71305650240 in words is "seventy-one billion, three hundred five million, six hundred fifty thousand, two hundred forty".