73749 has 16 divisors (see below), whose sum is σ = 111104. Its totient is φ = 43200.

The previous prime is 73727. The next prime is 73751. The reversal of 73749 is 94737.

It is not a de Polignac number, because 73749 - 2⁹ = 73237 is a prime.

73749 is a Rhonda number in base 12.

Its product of digits (5292) is a multiple of the sum of its prime divisors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1179 + ... + 1239.

It is an arithmetic number, because the mean of its divisors is an integer number (6944).

2⁷³⁷⁴⁹ is an apocalyptic number.

It is an amenable number.

73749 is a deficient number, since it is larger than the sum of its proper divisors (37355).

73749 is a wasteful number, since it uses less digits than its factorization.

73749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108.

The product of its digits is 5292, while the sum is 30.

The square root of 73749 is about 271.5676711245. The cubic root of 73749 is about 41.9358430904.

It can be divided in two parts, 7374 and 9, that multiplied together give a palindrome (66366).

The spelling of 73749 in words is "seventy-three thousand, seven hundred forty-nine".