73145932029 has 12 divisors (see below), whose sum is σ = 106590238716. Its totient is φ = 48332414592.

The previous prime is 73145932009. The next prime is 73145932061. The reversal of 73145932029 is 92023954137.

73145932029 is a `hidden beast` number, since 7 + 3 + 14 + 593 + 20 + 29 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3410326404 + 69735605625 = 58398^2 + 264075^2 .

It is not a de Polignac number, because 73145932029 - 2¹¹ = 73145929981 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73145932009) 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, 35960602 + ... + 35962635.

It is an arithmetic number, because the mean of its divisors is an integer number (8882519893).

Almost surely, 2^73145932029 is an apocalyptic number.

It is an amenable number.

73145932029 is a deficient number, since it is larger than the sum of its proper divisors (33444306687).

73145932029 is a wasteful number, since it uses less digits than its factorization.

73145932029 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71923356 (or 71923353 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 73145932029 in words is "seventy-three billion, one hundred forty-five million, nine hundred thirty-two thousand, twenty-nine".