73853749 has 16 divisors (see below), whose sum is σ = 79672320. Its totient is φ = 68302080.

The previous prime is 73853743. The next prime is 73853761. The reversal of 73853749 is 94735837.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 73853749 - 2²⁵ = 40299317 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 73853699 and 73853708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73853743) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101224 + ... + 101950.

It is an arithmetic number, because the mean of its divisors is an integer number (4979520).

Almost surely, 2^73853749 is an apocalyptic number.

It is an amenable number.

73853749 is a deficient number, since it is larger than the sum of its proper divisors (5818571).

73853749 is a wasteful number, since it uses less digits than its factorization.

73853749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900.

The product of its digits is 635040, while the sum is 46.

The square root of 73853749 is about 8593.8203960753. The cubic root of 73853749 is about 419.5568814833.

The spelling of 73853749 in words is "seventy-three million, eight hundred fifty-three thousand, seven hundred forty-nine".