72075871760597 has 2 divisors, whose sum is σ = 72075871760598. Its totient is φ = 72075871760596.

The previous prime is 72075871760569. The next prime is 72075871760609. The reversal of 72075871760597 is 79506717857027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71991050440516 + 84821320081 = 8484754^2 + 291241^2 .

It is a cyclic number.

It is not a de Polignac number, because 72075871760597 - 2⁶ = 72075871760533 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72075871760597.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72075871760567) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36037935880298 + 36037935880299.

It is an arithmetic number, because the mean of its divisors is an integer number (36037935880299).

Almost surely, 2^{72075871760597} is an apocalyptic number.

It is an amenable number.

72075871760597 is a deficient number, since it is larger than the sum of its proper divisors (1).

72075871760597 is an equidigital number, since it uses as much as digits as its factorization.

72075871760597 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 363031200, while the sum is 71.

The spelling of 72075871760597 in words is "seventy-two trillion, seventy-five billion, eight hundred seventy-one million, seven hundred sixty thousand, five hundred ninety-seven".