71902120733820 has 768 divisors, whose sum is σ = 260272922112000. Its totient is φ = 16331365822464.

The previous prime is 71902120733803. The next prime is 71902120733827. The reversal of 71902120733820 is 2833702120917.

71902120733820 is a `hidden beast` number, since 7 + 1 + 90 + 2 + 1 + 207 + 338 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71902120733827) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5895059962 + ... + 5895072158.

It is an arithmetic number, because the mean of its divisors is an integer number (338897034000).

Almost surely, 2^{71902120733820} 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 71902120733820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130136461056000).

71902120733820 is an abundant number, since it is smaller than the sum of its proper divisors (188370801378180).

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

71902120733820 is a wasteful number, since it uses less digits than its factorization.

71902120733820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13539 (or 13531 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 71902120733820 in words is "seventy-one trillion, nine hundred two billion, one hundred twenty million, seven hundred thirty-three thousand, eight hundred twenty".