73149 has 8 divisors (see below), whose sum is σ = 100320. Its totient is φ = 47376.

The previous prime is 73141. The next prime is 73181. The reversal of 73149 is 94137.

73149 = T₂ + T₃ + ... + T₇₅.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 73149 - 2³ = 73141 is a prime.

It is a Curzon number.

73149 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219 + ... + 440.

It is an arithmetic number, because the mean of its divisors is an integer number (12540).

2⁷³¹⁴⁹ is an apocalyptic number.

It is an amenable number.

73149 is a deficient number, since it is larger than the sum of its proper divisors (27171).

73149 is a wasteful number, since it uses less digits than its factorization.

73149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699.

The product of its digits is 756, while the sum is 24.

The square root of 73149 is about 270.4607180350. The cubic root of 73149 is about 41.8218074132.

It can be divided in two parts, 731 and 49, that added together give a triangular number (780 = T₃₉).

The spelling of 73149 in words is "seventy-three thousand, one hundred forty-nine".