72071488865520 has 240 divisors, whose sum is σ = 254832467728800. Its totient is φ = 18203715532800.

The previous prime is 72071488865437. The next prime is 72071488865557. The reversal of 72071488865520 is 2556888417027.

72071488865520 is a `hidden beast` number, since 7 + 2 + 0 + 7 + 1 + 48 + 8 + 8 + 65 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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, 64963470 + ... + 66063570.

It is an arithmetic number, because the mean of its divisors is an integer number (1061801948870).

Almost surely, 2^{72071488865520} 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 72071488865520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127416233864400).

72071488865520 is an abundant number, since it is smaller than the sum of its proper divisors (182760978863280).

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

72071488865520 is a wasteful number, since it uses less digits than its factorization.

72071488865520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104928 (or 1104919 counting only the distinct ones).

The product of its (nonzero) digits is 60211200, while the sum is 63.

The spelling of 72071488865520 in words is "seventy-two trillion, seventy-one billion, four hundred eighty-eight million, eight hundred sixty-five thousand, five hundred twenty".