73649 has 4 divisors (see below), whose sum is σ = 75264. Its totient is φ = 72036.

The previous prime is 73643. The next prime is 73651. The reversal of 73649 is 94637.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 94637 = 101 ⋅937.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-73649 is a prime.

It is a d-powerful number, because it can be written as 7 + 3¹⁰ + 6⁵ + 4⁴ + 9⁴ .

It is a Duffinian number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 73649.

It is not an unprimeable number, because it can be changed into a prime (73643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 737 + ... + 830.

It is an arithmetic number, because the mean of its divisors is an integer number (18816).

2⁷³⁶⁴⁹ is an apocalyptic number.

It is an amenable number.

73649 is a deficient number, since it is larger than the sum of its proper divisors (1615).

73649 is a wasteful number, since it uses less digits than its factorization.

73649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614.

The product of its digits is 4536, while the sum is 29.

The square root of 73649 is about 271.3834924972. The cubic root of 73649 is about 41.9168802065.

The spelling of 73649 in words is "seventy-three thousand, six hundred forty-nine".