71287920000 has 480 divisors, whose sum is σ = 279675756360. Its totient is φ = 17280000000.

The previous prime is 71287919999. The next prime is 71287920007. The reversal of 71287920000 is 2978217.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71287920007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7915500 + ... + 7924500.

Almost surely, 2^71287920000 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 71287920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139837878180).

71287920000 is an abundant number, since it is smaller than the sum of its proper divisors (208387836360).

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

71287920000 is a wasteful number, since it uses less digits than its factorization.

71287920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9052 (or 9022 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

It can be divided in two parts, 7128 and 7920000, that multiplied together give a square (56453760000 = 237600²).

The spelling of 71287920000 in words is "seventy-one billion, two hundred eighty-seven million, nine hundred twenty thousand".