71093417472 has 960 divisors, whose sum is σ = 273255510528. Its totient is φ = 17915904000.

The previous prime is 71093417471. The next prime is 71093417477. The reversal of 71093417472 is 27471439017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71093417471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 392781222 + ... + 392781402.

Almost surely, 2^71093417472 is an apocalyptic number.

71093417472 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 71093417472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136627755264).

71093417472 is an abundant number, since it is smaller than the sum of its proper divisors (202162093056).

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

71093417472 is a wasteful number, since it uses less digits than its factorization.

71093417472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 71093417472 in words is "seventy-one billion, ninety-three million, four hundred seventeen thousand, four hundred seventy-two".