73527040 has 144 divisors (see below), whose sum is σ = 194261760. Its totient is φ = 26542080.

The previous prime is 73527037. The next prime is 73527043. The reversal of 73527040 is 4072537.

It is an interprime number because it is at equal distance from previous prime (73527037) and next prime (73527043).

It is a super-2 number, since 2×73527040² = 10812451222323200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73527043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 674506 + ... + 674614.

It is an arithmetic number, because the mean of its divisors is an integer number (1349040).

Almost surely, 2^73527040 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 73527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97130880).

73527040 is an abundant number, since it is smaller than the sum of its proper divisors (120734720).

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

73527040 is a wasteful number, since it uses less digits than its factorization.

73527040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 28.

The square root of 73527040 is about 8574.7909595511. The cubic root of 73527040 is about 418.9372982579.

Adding to 73527040 its reverse (4072537), we get a palindrome (77599577).

The spelling of 73527040 in words is "seventy-three million, five hundred twenty-seven thousand, forty".