71214712650720 has 288 divisors, whose sum is σ = 257629003107840. Its totient is φ = 17851721072640.

The previous prime is 71214712650677. The next prime is 71214712650743. The reversal of 71214712650720 is 2705621741217.

It is a happy number.

71214712650720 is a `hidden beast` number, since 7 + 1 + 2 + 14 + 7 + 126 + 507 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18326401 + ... + 21869759.

It is an arithmetic number, because the mean of its divisors is an integer number (894545149680).

Almost surely, 2^{71214712650720} 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 71214712650720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128814501553920).

71214712650720 is an abundant number, since it is smaller than the sum of its proper divisors (186414290457120).

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

71214712650720 is a wasteful number, since it uses less digits than its factorization.

71214712650720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3544218 (or 3544207 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 71214712650720 in words is "seventy-one trillion, two hundred fourteen billion, seven hundred twelve million, six hundred fifty thousand, seven hundred twenty".