71222807120640 has 576 divisors, whose sum is σ = 260569232501760. Its totient is φ = 16241606000640.

The previous prime is 71222807120611. The next prime is 71222807120683. The reversal of 71222807120640 is 4602170822217.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 71222807120592 and 71222807120601.

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, 29467440712 + ... + 29467443128.

It is an arithmetic number, because the mean of its divisors is an integer number (452377139760).

Almost surely, 2^{71222807120640} is an apocalyptic number.

71222807120640 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 71222807120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130284616250880).

71222807120640 is an abundant number, since it is smaller than the sum of its proper divisors (189346425381120).

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

71222807120640 is a wasteful number, since it uses less digits than its factorization.

71222807120640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4548 (or 4534 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

Adding to 71222807120640 its reverse (4602170822217), we get a palindrome (75824977942857).

The spelling of 71222807120640 in words is "seventy-one trillion, two hundred twenty-two billion, eight hundred seven million, one hundred twenty thousand, six hundred forty".