75627825 has 72 divisors (see below), whose sum is σ = 156739968. Its totient is φ = 31893120.

The previous prime is 75627803. The next prime is 75627829. The reversal of 75627825 is 52872657.

It is not a de Polignac number, because 75627825 - 2⁹ = 75627313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (75627829) 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 71 ways as a sum of consecutive naturals, for example, 46984 + ... + 48566.

It is an arithmetic number, because the mean of its divisors is an integer number (2176944).

Almost surely, 2^75627825 is an apocalyptic number.

75627825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

75627825 is an abundant number, since it is smaller than the sum of its proper divisors (81112143).

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

75627825 is a wasteful number, since it uses less digits than its factorization.

75627825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623 (or 1611 counting only the distinct ones).

The product of its digits is 235200, while the sum is 42.

The square root of 75627825 is about 8696.4259900260. The cubic root of 75627825 is about 422.8897935098.

The spelling of 75627825 in words is "seventy-five million, six hundred twenty-seven thousand, eight hundred twenty-five".