73013840 has 40 divisors (see below), whose sum is σ = 171525480. Its totient is φ = 28904448.

The previous prime is 73013833. The next prime is 73013873. The reversal of 73013840 is 4831037.

It can be written as a sum of positive squares in 4 ways, for example, as 1577536 + 71436304 = 1256^2 + 8452^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 752672 + ... + 752768.

It is an arithmetic number, because the mean of its divisors is an integer number (4288137).

Almost surely, 2^73013840 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 73013840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85762740).

73013840 is an abundant number, since it is smaller than the sum of its proper divisors (98511640).

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

73013840 is an frugal number, since it uses more digits than its factorization.

73013840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 73013840 is about 8544.8136316716. The cubic root of 73013840 is about 417.9603298662.

Adding to 73013840 its reverse (4831037), we get a palindrome (77844877).

The spelling of 73013840 in words is "seventy-three million, thirteen thousand, eight hundred forty".