72417720146593 has 2 divisors, whose sum is σ = 72417720146594. Its totient is φ = 72417720146592.

The previous prime is 72417720146573. The next prime is 72417720146647. The reversal of 72417720146593 is 39564102771427.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 38427514214049 + 33990205932544 = 6198993^2 + 5830112^2 .

It is a cyclic number.

It is not a de Polignac number, because 72417720146593 - 2³⁷ = 72280281193121 is a prime.

It is not a weakly prime, because it can be changed into another prime (72417720146503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36208860073296 + 36208860073297.

It is an arithmetic number, because the mean of its divisors is an integer number (36208860073297).

Almost surely, 2^{72417720146593} is an apocalyptic number.

It is an amenable number.

72417720146593 is a deficient number, since it is larger than the sum of its proper divisors (1).

72417720146593 is an equidigital number, since it uses as much as digits as its factorization.

72417720146593 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17781120, while the sum is 58.

The spelling of 72417720146593 in words is "seventy-two trillion, four hundred seventeen billion, seven hundred twenty million, one hundred forty-six thousand, five hundred ninety-three".