73144827 has 24 divisors (see below), whose sum is σ = 121037280. Its totient is φ = 41696640.

The previous prime is 73144817. The next prime is 73144843. The reversal of 73144827 is 72844137.

It is a happy number.

It is not a de Polignac number, because 73144827 - 2⁴ = 73144811 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 73144791 and 73144800.

It is not an unprimeable number, because it can be changed into a prime (73144817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30927 + ... + 33207.

It is an arithmetic number, because the mean of its divisors is an integer number (5043220).

Almost surely, 2^73144827 is an apocalyptic number.

73144827 is a deficient number, since it is larger than the sum of its proper divisors (47892453).

73144827 is a wasteful number, since it uses less digits than its factorization.

73144827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2803 (or 2800 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 73144827 is about 8552.4749049617. The cubic root of 73144827 is about 418.2101211539.

The spelling of 73144827 in words is "seventy-three million, one hundred forty-four thousand, eight hundred twenty-seven".