73950 has 48 divisors (see below), whose sum is σ = 200880. Its totient is φ = 17920.

The previous prime is 73943. The next prime is 73951. The reversal of 73950 is 5937.

It is a self number, because there is not a number n which added to its sum of digits gives 73950.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 73950.

It is not an unprimeable number, because it can be changed into a prime (73951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2536 + ... + 2564.

It is an arithmetic number, because the mean of its divisors is an integer number (4185).

2⁷³⁹⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100440).

73950 is an abundant number, since it is smaller than the sum of its proper divisors (126930).

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

73950 is a wasteful number, since it uses less digits than its factorization.

73950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 24.

The square root of 73950 is about 271.9374928177. The cubic root of 73950 is about 41.9739066949.

The spelling of 73950 in words is "seventy-three thousand, nine hundred fifty".