72568742401 has 4 divisors (see below), whose sum is σ = 76837491972. Its totient is φ = 68299992832.

The previous prime is 72568742359. The next prime is 72568742437. The reversal of 72568742401 is 10424786527.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 10424786527 = 14897 ⋅699791.

It can be written as a sum of positive squares in 2 ways, for example, as 55979560000 + 16589182401 = 236600^2 + 128799^2 .

It is a cyclic number.

It is not a de Polignac number, because 72568742401 - 2⁷ = 72568742273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72568742201) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2134374760 + ... + 2134374793.

It is an arithmetic number, because the mean of its divisors is an integer number (19209372993).

Almost surely, 2^72568742401 is an apocalyptic number.

It is an amenable number.

72568742401 is a deficient number, since it is larger than the sum of its proper divisors (4268749571).

72568742401 is a wasteful number, since it uses less digits than its factorization.

72568742401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4268749570.

The product of its (nonzero) digits is 752640, while the sum is 46.

The spelling of 72568742401 in words is "seventy-two billion, five hundred sixty-eight million, seven hundred forty-two thousand, four hundred one".