73281936 has 160 divisors (see below), whose sum is σ = 245539840. Its totient is φ = 18289152.

The previous prime is 73281931. The next prime is 73281959. The reversal of 73281936 is 63918237.

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

It is a junction number, because it is equal to n+sod(n) for n = 73281894 and 73281903.

It is not an unprimeable number, because it can be changed into a prime (73281931) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 82551 + ... + 83433.

It is an arithmetic number, because the mean of its divisors is an integer number (1534624).

Almost surely, 2^73281936 is an apocalyptic number.

73281936 is a gapful number since it is divisible by the number (76) 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 73281936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122769920).

73281936 is an abundant number, since it is smaller than the sum of its proper divisors (172257904).

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

73281936 is a wasteful number, since it uses less digits than its factorization.

73281936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 927 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 73281936 is about 8560.4869020401. The cubic root of 73281936 is about 418.4712678096.

The spelling of 73281936 in words is "seventy-three million, two hundred eighty-one thousand, nine hundred thirty-six".