73290944 has 112 divisors (see below), whose sum is σ = 165908736. Its totient is φ = 31948800.

The previous prime is 73290941. The next prime is 73290967. The reversal of 73290944 is 44909237.

It is a super-2 number, since 2×73290944² = 10743124944822272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 73290898 and 73290907.

It is not an unprimeable number, because it can be changed into a prime (73290941) 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 15 ways as a sum of consecutive naturals, for example, 1382822 + ... + 1382874.

It is an arithmetic number, because the mean of its divisors is an integer number (1481328).

Almost surely, 2^73290944 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 73290944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82954368).

73290944 is an abundant number, since it is smaller than the sum of its proper divisors (92617792).

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

73290944 is a wasteful number, since it uses less digits than its factorization.

73290944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 73290944 is about 8561.0130241695. The cubic root of 73290944 is about 418.4884136208.

The spelling of 73290944 in words is "seventy-three million, two hundred ninety thousand, nine hundred forty-four".