71625275965440 has 1152 divisors, whose sum is σ = 269137001034720. Its totient is φ = 18263329210368.

The previous prime is 71625275965427. The next prime is 71625275965483. The reversal of 71625275965440 is 4456957252617.

It is a happy number.

71625275965440 is a `hidden beast` number, since 7 + 1 + 6 + 2 + 527 + 5 + 9 + 65 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24723946072 + ... + 24723948968.

Almost surely, 2^{71625275965440} 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 71625275965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134568500517360).

71625275965440 is an abundant number, since it is smaller than the sum of its proper divisors (197511725069280).

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

71625275965440 is an frugal number, since it uses more digits than its factorization.

71625275965440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2979 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 63.

The spelling of 71625275965440 in words is "seventy-one trillion, six hundred twenty-five billion, two hundred seventy-five million, nine hundred sixty-five thousand, four hundred forty".