73528315 has 32 divisors (see below), whose sum is σ = 107495424. Its totient is φ = 47132160.

The previous prime is 73528313. The next prime is 73528319. The reversal of 73528315 is 51382537.

It is not a de Polignac number, because 73528315 - 2¹ = 73528313 is a prime.

It is a super-3 number, since 3×73528315³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73528313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113322 + ... + 113968.

It is an arithmetic number, because the mean of its divisors is an integer number (3359232).

Almost surely, 2^73528315 is an apocalyptic number.

73528315 is a deficient number, since it is larger than the sum of its proper divisors (33967109).

73528315 is a wasteful number, since it uses less digits than its factorization.

73528315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867.

The product of its digits is 25200, while the sum is 34.

The square root of 73528315 is about 8574.8653050646. The cubic root of 73528315 is about 418.9397197795.

The spelling of 73528315 in words is "seventy-three million, five hundred twenty-eight thousand, three hundred fifteen".