72553692602097 has 12 divisors (see below), whose sum is σ = 119771175089280. Its totient is φ = 41459252915448.

The previous prime is 72553692602081. The next prime is 72553692602123. The reversal of 72553692602097 is 79020629635527.

72553692602097 is a `hidden beast` number, since 7 + 2 + 5 + 5 + 369 + 2 + 60 + 209 + 7 = 666.

It is not a de Polignac number, because 72553692602097 - 2⁴ = 72553692602081 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63), and also a Moran number because the ratio is a prime number: 1151645914319 = 72553692602097 / (7 + 2 + 5 + 5 + 3 + 6 + 9 + 2 + 6 + 0 + 2 + 0 + 9 + 7).

It is not an unprimeable number, because it can be changed into a prime (72553692602077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 575822957097 + ... + 575822957222.

It is an arithmetic number, because the mean of its divisors is an integer number (9980931257440).

Almost surely, 2^{72553692602097} is an apocalyptic number.

It is an amenable number.

72553692602097 is a deficient number, since it is larger than the sum of its proper divisors (47217482487183).

72553692602097 is a wasteful number, since it uses less digits than its factorization.

72553692602097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151645914332 (or 1151645914329 counting only the distinct ones).

The product of its (nonzero) digits is 85730400, while the sum is 63.

The spelling of 72553692602097 in words is "seventy-two trillion, five hundred fifty-three billion, six hundred ninety-two million, six hundred two thousand, ninety-seven".