71242756020 has 144 divisors (see below), whose sum is σ = 223273290240. Its totient is φ = 18368812800.

The previous prime is 71242756009. The next prime is 71242756073. The reversal of 71242756020 is 2065724217.

It is a happy number.

71242756020 is a `hidden beast` number, since 7 + 1 + 2 + 42 + 7 + 5 + 602 + 0 = 666.

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

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, 7020150 + ... + 7030290.

It is an arithmetic number, because the mean of its divisors is an integer number (1550508960).

Almost surely, 2^71242756020 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 71242756020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111636645120).

71242756020 is an abundant number, since it is smaller than the sum of its proper divisors (152030534220).

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

71242756020 is a wasteful number, since it uses less digits than its factorization.

71242756020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11446 (or 11441 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 71242756020 in words is "seventy-one billion, two hundred forty-two million, seven hundred fifty-six thousand, twenty".