71762745472 has 128 divisors (see below), whose sum is σ = 157898937600. Its totient is φ = 32216432640.

The previous prime is 71762745469. The next prime is 71762745479. The reversal of 71762745472 is 27454726717.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (71762745479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58390554 + ... + 58391782.

It is an arithmetic number, because the mean of its divisors is an integer number (1233585450).

Almost surely, 2^71762745472 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 71762745472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78949468800).

71762745472 is an abundant number, since it is smaller than the sum of its proper divisors (86136192128).

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

71762745472 is a wasteful number, since it uses less digits than its factorization.

71762745472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1722 counting only the distinct ones).

The product of its digits is 4609920, while the sum is 52.

The spelling of 71762745472 in words is "seventy-one billion, seven hundred sixty-two million, seven hundred forty-five thousand, four hundred seventy-two".