73233966 has 48 divisors (see below), whose sum is σ = 163153872. Its totient is φ = 21784320.

The previous prime is 73233959. The next prime is 73233967. The reversal of 73233966 is 66933237.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73233967) 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, 74470 + ... + 75446.

It is an arithmetic number, because the mean of its divisors is an integer number (3399039).

Almost surely, 2^73233966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73233966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81576936).

73233966 is an abundant number, since it is smaller than the sum of its proper divisors (89919906).

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

73233966 is a wasteful number, since it uses less digits than its factorization.

73233966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057 (or 1026 counting only the distinct ones).

The product of its digits is 122472, while the sum is 39.

The square root of 73233966 is about 8557.6846167640. The cubic root of 73233966 is about 418.3799381244.

The spelling of 73233966 in words is "seventy-three million, two hundred thirty-three thousand, nine hundred sixty-six".