73504080 has 120 divisors (see below), whose sum is σ = 265873608. Its totient is φ = 18091008.

The previous prime is 73504051. The next prime is 73504087. The reversal of 73504080 is 8040537.

It can be written as a sum of positive squares in 4 ways, for example, as 2742336 + 70761744 = 1656^2 + 8412^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73504087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5434 + ... + 13286.

Almost surely, 2^73504080 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 73504080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132936804).

73504080 is an abundant number, since it is smaller than the sum of its proper divisors (192369528).

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

73504080 is a wasteful number, since it uses less digits than its factorization.

73504080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7885 (or 7876 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 73504080 is about 8573.4520468712. The cubic root of 73504080 is about 418.8936870832.

The spelling of 73504080 in words is "seventy-three million, five hundred four thousand, eighty".