73738 has 16 divisors (see below), whose sum is σ = 132480. Its totient is φ = 30096.

The previous prime is 73727. The next prime is 73751. The reversal of 73738 is 83737.

It is an unprimeable number.

73738 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208 + ... + 436.

It is an arithmetic number, because the mean of its divisors is an integer number (8280).

2⁷³⁷³⁸ is an apocalyptic number.

73738 is a deficient number, since it is larger than the sum of its proper divisors (58742).

73738 is a wasteful number, since it uses less digits than its factorization.

73738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261.

The product of its digits is 3528, while the sum is 28.

The square root of 73738 is about 271.5474175904. The cubic root of 73738 is about 41.9337580126.

Subtracting 73738 from its reverse (83737), we obtain a palindrome (9999).

It can be divided in two parts, 7373 and 8, that added together give a triangular number (7381 = T₁₂₁).

The spelling of 73738 in words is "seventy-three thousand, seven hundred thirty-eight".