73948 has 24 divisors (see below), whose sum is σ = 156800. Its totient is φ = 29808.

The previous prime is 73943. The next prime is 73951. The reversal of 73948 is 84937.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73943) by changing a digit.

73948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 463 + ... + 601.

2⁷³⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78400).

73948 is an abundant number, since it is smaller than the sum of its proper divisors (82852).

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

73948 is a wasteful number, since it uses less digits than its factorization.

73948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 167 counting only the distinct ones).

The product of its digits is 6048, while the sum is 31.

The square root of 73948 is about 271.9338154772. The cubic root of 73948 is about 41.9735282925.

It can be divided in two parts, 739 and 48, that added together give a palindrome (787).

The spelling of 73948 in words is "seventy-three thousand, nine hundred forty-eight".