71209713120 has 768 divisors, whose sum is σ = 291846094848. Its totient is φ = 14190059520.

The previous prime is 71209713119. The next prime is 71209713149. The reversal of 71209713120 is 2131790217.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 58224829 + ... + 58226051.

It is an arithmetic number, because the mean of its divisors is an integer number (380007936).

Almost surely, 2^71209713120 is an apocalyptic number.

71209713120 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 71209713120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145923047424).

71209713120 is an abundant number, since it is smaller than the sum of its proper divisors (220636381728).

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

71209713120 is a wasteful number, since it uses less digits than its factorization.

71209713120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

The spelling of 71209713120 in words is "seventy-one billion, two hundred nine million, seven hundred thirteen thousand, one hundred twenty".