72754317657 has 18 divisors (see below), whose sum is σ = 122247051498. Its totient is φ = 41573895552.

The previous prime is 72754317653. The next prime is 72754317659. The reversal of 72754317657 is 75671345727.

72754317657 is a `hidden beast` number, since 7 + 27 + 543 + 1 + 76 + 5 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51733957401 + 21020360256 = 227451^2 + 144984^2 .

It is not a de Polignac number, because 72754317657 - 2² = 72754317653 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72754317653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 82487448 + ... + 82488329.

It is an arithmetic number, because the mean of its divisors is an integer number (6791502861).

Almost surely, 2^72754317657 is an apocalyptic number.

It is an amenable number.

72754317657 is a deficient number, since it is larger than the sum of its proper divisors (49492733841).

72754317657 is a wasteful number, since it uses less digits than its factorization.

72754317657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164975797 (or 164975787 counting only the distinct ones).

The product of its digits is 8643600, while the sum is 54.

The spelling of 72754317657 in words is "seventy-two billion, seven hundred fifty-four million, three hundred seventeen thousand, six hundred fifty-seven".