71205246720 has 360 divisors, whose sum is σ = 255416441280. Its totient is φ = 18941091840.

The previous prime is 71205246701. The next prime is 71205246731. The reversal of 71205246720 is 2764250217.

It is a happy number.

71205246720 is a `hidden beast` number, since 7 + 120 + 52 + 467 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 68531961 + ... + 68532999.

Almost surely, 2^71205246720 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 71205246720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127708220640).

71205246720 is an abundant number, since it is smaller than the sum of its proper divisors (184211194560).

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

71205246720 is a wasteful number, since it uses less digits than its factorization.

71205246720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

Adding to 71205246720 its reverse (2764250217), we get a palindrome (73969496937).

The spelling of 71205246720 in words is "seventy-one billion, two hundred five million, two hundred forty-six thousand, seven hundred twenty".