71376486720 has 672 divisors, whose sum is σ = 291759729408. Its totient is φ = 14462976000.

The previous prime is 71376486689. The next prime is 71376486737. The reversal of 71376486720 is 2768467317.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33336850 + ... + 33338990.

It is an arithmetic number, because the mean of its divisors is an integer number (434166264).

Almost surely, 2^71376486720 is an apocalyptic number.

71376486720 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 71376486720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145879864704).

71376486720 is an abundant number, since it is smaller than the sum of its proper divisors (220383242688).

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

71376486720 is a wasteful number, since it uses less digits than its factorization.

71376486720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2231 (or 2210 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 51.

It can be divided in two parts, 71376 and 486720, that added together give a triangular number (558096 = T₁₀₅₆).

The spelling of 71376486720 in words is "seventy-one billion, three hundred seventy-six million, four hundred eighty-six thousand, seven hundred twenty".