71752613460 has 384 divisors, whose sum is σ = 235146240000. Its totient is φ = 16165416960.

The previous prime is 71752613437. The next prime is 71752613461. The reversal of 71752613460 is 6431625717.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71752613461) by changing a digit.

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, 266738206 + ... + 266738474.

It is an arithmetic number, because the mean of its divisors is an integer number (612360000).

Almost surely, 2^71752613460 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 71752613460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117573120000).

71752613460 is an abundant number, since it is smaller than the sum of its proper divisors (163393626540).

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

71752613460 is a wasteful number, since it uses less digits than its factorization.

71752613460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 71752613460 in words is "seventy-one billion, seven hundred fifty-two million, six hundred thirteen thousand, four hundred sixty".