73938 has 8 divisors (see below), whose sum is σ = 147888. Its totient is φ = 24644.

The previous prime is 73907. The next prime is 73939. The reversal of 73938 is 83937.

73938 = 10⁴ + 11⁴ + ... + 13⁴.

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

73938 is an admirable number.

It is not an unprimeable number, because it can be changed into a prime (73939) 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, 6156 + ... + 6167.

It is an arithmetic number, because the mean of its divisors is an integer number (18486).

2⁷³⁹³⁸ is an apocalyptic number.

73938 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73944).

73938 is a wasteful number, since it uses less digits than its factorization.

73938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12328.

The product of its digits is 4536, while the sum is 30.

The square root of 73938 is about 271.9154280286. The cubic root of 73938 is about 41.9716361782.

Subtracting 73938 from its reverse (83937), we obtain a palindrome (9999).

It can be divided in two parts, 739 and 38, that multiplied together give a palindrome (28082).

The spelling of 73938 in words is "seventy-three thousand, nine hundred thirty-eight".