72565904122752 has 128 divisors (see below), whose sum is σ = 204165149905440. Its totient is φ = 22757570183168.

The previous prime is 72565904122741. The next prime is 72565904122763. The reversal of 72565904122752 is 25722140956527.

It is an interprime number because it is at equal distance from previous prime (72565904122741) and next prime (72565904122763).

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

It is a junction number, because it is equal to n+sod(n) for n = 72565904122692 and 72565904122701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16126798 + ... + 20129714.

Almost surely, 2^{72565904122752} 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 72565904122752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102082574952720).

72565904122752 is an abundant number, since it is smaller than the sum of its proper divisors (131599245782688).

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

72565904122752 is a wasteful number, since it uses less digits than its factorization.

72565904122752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4005728 (or 4005716 counting only the distinct ones).

The product of its (nonzero) digits is 21168000, while the sum is 57.

The spelling of 72565904122752 in words is "seventy-two trillion, five hundred sixty-five billion, nine hundred four million, one hundred twenty-two thousand, seven hundred fifty-two".