73535540 has 96 divisors (see below), whose sum is σ = 178827264. Its totient is φ = 25159680.

The previous prime is 73535537. The next prime is 73535543. The reversal of 73535540 is 4553537.

It is an interprime number because it is at equal distance from previous prime (73535537) and next prime (73535543).

It is a junction number, because it is equal to n+sod(n) for n = 73535497 and 73535506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73535543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 561275 + ... + 561405.

It is an arithmetic number, because the mean of its divisors is an integer number (1862784).

Almost surely, 2^73535540 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 73535540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89413632).

73535540 is an abundant number, since it is smaller than the sum of its proper divisors (105291724).

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

73535540 is a wasteful number, since it uses less digits than its factorization.

73535540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 32.

The square root of 73535540 is about 8575.2865841323. The cubic root of 73535540 is about 418.9534412071.

The spelling of 73535540 in words is "seventy-three million, five hundred thirty-five thousand, five hundred forty".