75101625 has 48 divisors (see below), whose sum is σ = 136435728. Its totient is φ = 39744000.

The previous prime is 75101591. The next prime is 75101633. The reversal of 75101625 is 52610157.

It can be written as a sum of positive squares in 8 ways, for example, as 27657081 + 47444544 = 5259^2 + 6888^2 .

It is not a de Polignac number, because 75101625 - 2⁷ = 75101497 is a prime.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 270987 + ... + 271263.

It is an arithmetic number, because the mean of its divisors is an integer number (2842411).

Almost surely, 2^75101625 is an apocalyptic number.

75101625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

75101625 is a deficient number, since it is larger than the sum of its proper divisors (61334103).

75101625 is a wasteful number, since it uses less digits than its factorization.

75101625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 75101625 is about 8666.1193737451. The cubic root of 75101625 is about 421.9067218945.

The spelling of 75101625 in words is "seventy-five million, one hundred one thousand, six hundred twenty-five".