73088743 has 24 divisors (see below), whose sum is σ = 92216880. Its totient is φ = 57415680.

The previous prime is 73088737. The next prime is 73088767. The reversal of 73088743 is 34788037.

It is a de Polignac number, because none of the positive numbers 2^k-73088743 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 73088696 and 73088705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73088443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113703 + ... + 114343.

It is an arithmetic number, because the mean of its divisors is an integer number (3842370).

Almost surely, 2^73088743 is an apocalyptic number.

73088743 is a deficient number, since it is larger than the sum of its proper divisors (19128137).

73088743 is a wasteful number, since it uses less digits than its factorization.

73088743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 73088743 is about 8549.1954592230. The cubic root of 73088743 is about 418.1032058980.

The spelling of 73088743 in words is "seventy-three million, eighty-eight thousand, seven hundred forty-three".