75725002368 has 192 divisors, whose sum is σ = 231256813320. Its totient is φ = 23702077440.

The previous prime is 75725002313. The next prime is 75725002369. The reversal of 75725002368 is 86320052757.

75725002368 is a `hidden beast` number, since 7 + 572 + 50 + 0 + 23 + 6 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 74162539584 + 1562462784 = 272328^2 + 39528^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (75725002369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8945658 + ... + 8954118.

Almost surely, 2^75725002368 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 75725002368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115628406660).

75725002368 is an abundant number, since it is smaller than the sum of its proper divisors (155531810952).

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

75725002368 is a wasteful number, since it uses less digits than its factorization.

75725002368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8955 (or 8940 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 75725002368 in words is "seventy-five billion, seven hundred twenty-five million, two thousand, three hundred sixty-eight".