73389840 has 80 divisors (see below), whose sum is σ = 228842496. Its totient is φ = 19456000.

The previous prime is 73389839. The next prime is 73389851. The reversal of 73389840 is 4898337.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 73389792 and 73389801.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45040 + ... + 46640.

Almost surely, 2^73389840 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 73389840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114421248).

73389840 is an abundant number, since it is smaller than the sum of its proper divisors (155452656).

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

73389840 is a wasteful number, since it uses less digits than its factorization.

73389840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 73389840 is about 8566.7870289858. The cubic root of 73389840 is about 418.6765597799.

The spelling of 73389840 in words is "seventy-three million, three hundred eighty-nine thousand, eight hundred forty".