75285315 has 96 divisors (see below), whose sum is σ = 164160000. Its totient is φ = 32550336.

The previous prime is 75285313. The next prime is 75285317. The reversal of 75285315 is 51358257.

It is an interprime number because it is at equal distance from previous prime (75285313) and next prime (75285317).

It is not a de Polignac number, because 75285315 - 2¹ = 75285313 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 75285315.

It is not an unprimeable number, because it can be changed into a prime (75285311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 125386 + ... + 125984.

It is an arithmetic number, because the mean of its divisors is an integer number (1710000).

Almost surely, 2^75285315 is an apocalyptic number.

75285315 is an abundant number, since it is smaller than the sum of its proper divisors (88874685).

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

75285315 is a wasteful number, since it uses less digits than its factorization.

75285315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 633 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 75285315 is about 8676.7110704460. The cubic root of 75285315 is about 422.2504203877.

It can be divided in two parts, 75 and 285315, that added together give a triangular number (285390 = T₇₅₅).

The spelling of 75285315 in words is "seventy-five million, two hundred eighty-five thousand, three hundred fifteen".