73157807529 has 45 divisors (see below), whose sum is σ = 112168649109. Its totient is φ = 47517399360.

The previous prime is 73157807521. The next prime is 73157807533. The reversal of 73157807529 is 92570875137.

It is a happy number.

The square root of 73157807529 is 270477.

It is a perfect power (a square), and thus also a powerful number.

73157807529 is a `hidden beast` number, since 7 + 31 + 5 + 7 + 80 + 7 + 529 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 393824025 + 72763983504 = 19845^2 + 269748^2 .

It is not a de Polignac number, because 73157807529 - 2³ = 73157807521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (73157807521) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 99805647 + ... + 99806379.

Almost surely, 2^73157807529 is an apocalyptic number.

73157807529 is the 270477-th square number.

73157807529 is the 135239-th centered octagonal number.

It is an amenable number.

73157807529 is a deficient number, since it is larger than the sum of its proper divisors (39010841580).

73157807529 is an frugal number, since it uses more digits than its factorization.

73157807529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 54.

The spelling of 73157807529 in words is "seventy-three billion, one hundred fifty-seven million, eight hundred seven thousand, five hundred twenty-nine".