73890944 has 32 divisors (see below), whose sum is σ = 148218240. Its totient is φ = 36691200.

The previous prime is 73890941. The next prime is 73890967. The reversal of 73890944 is 44909837.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×73890944² = 10919743210422272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 73890895 and 73890904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73890941) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17417 + ... + 21239.

It is an arithmetic number, because the mean of its divisors is an integer number (4631820).

Almost surely, 2^73890944 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 73890944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74109120).

73890944 is an abundant number, since it is smaller than the sum of its proper divisors (74327296).

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

73890944 is a wasteful number, since it uses less digits than its factorization.

73890944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3988 (or 3976 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The square root of 73890944 is about 8595.9841786732. The cubic root of 73890944 is about 419.6273035420.

The spelling of 73890944 in words is "seventy-three million, eight hundred ninety thousand, nine hundred forty-four".