73289952 has 72 divisors (see below), whose sum is σ = 215167680. Its totient is φ = 23639040.

The previous prime is 73289929. The next prime is 73290023. The reversal of 73289952 is 25998237.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 73289898 and 73289907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4824 + ... + 13032.

It is an arithmetic number, because the mean of its divisors is an integer number (2988440).

Almost surely, 2^73289952 is an apocalyptic number.

73289952 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73289952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107583840).

73289952 is an abundant number, since it is smaller than the sum of its proper divisors (141877728).

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

73289952 is a wasteful number, since it uses less digits than its factorization.

73289952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8256 (or 8245 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 73289952 is about 8560.9550869047. The cubic root of 73289952 is about 418.4865255186.

The spelling of 73289952 in words is "seventy-three million, two hundred eighty-nine thousand, nine hundred fifty-two".